3400346880 has 432 divisors, whose sum is σ = 13583606400. Its totient is φ = 769277952.

The previous prime is 3400346867. The next prime is 3400346891. The reversal of 3400346880 is 886430043.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12015219 + ... + 12015501.

Almost surely, 2^3400346880 is an apocalyptic number.

3400346880 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 3400346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791803200).

3400346880 is an abundant number, since it is smaller than the sum of its proper divisors (10183259520).

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

3400346880 is a wasteful number, since it uses less digits than its factorization.

3400346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3400346880 is about 58312.4933440511. The cubic root of 3400346880 is about 1503.7457318760.

The spelling of 3400346880 in words is "three billion, four hundred million, three hundred forty-six thousand, eight hundred eighty".