3360981600 has 576 divisors, whose sum is σ = 13144783680. Its totient is φ = 836075520.

The previous prime is 3360981587. The next prime is 3360981619. The reversal of 3360981600 is 61890633.

It is a happy number.

3360981600 is a `hidden beast` number, since 33 + 609 + 8 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×3360981600² = 22592394631077120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29743144 + ... + 29743256.

It is an arithmetic number, because the mean of its divisors is an integer number (22820805).

Almost surely, 2^3360981600 is an apocalyptic number.

3360981600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572391840).

3360981600 is an abundant number, since it is smaller than the sum of its proper divisors (9783802080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3360981600 is a wasteful number, since it uses less digits than its factorization.

3360981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3360981600 is about 57973.9734708602. The cubic root of 3360981600 is about 1497.9203179476.

The spelling of 3360981600 in words is "three billion, three hundred sixty million, nine hundred eighty-one thousand, six hundred".