3743801600 has 432 divisors, whose sum is σ = 11825243136. Its totient is φ = 1139712000.

The previous prime is 3743801573. The next prime is 3743801627. The reversal of 3743801600 is 61083473.

It is an interprime number because it is at equal distance from previous prime (3743801573) and next prime (3743801627).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34988747 + ... + 34988853.

It is an arithmetic number, because the mean of its divisors is an integer number (27373248).

Almost surely, 2^3743801600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912621568).

3743801600 is an abundant number, since it is smaller than the sum of its proper divisors (8081441536).

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

3743801600 is a wasteful number, since it uses less digits than its factorization.

3743801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3743801600 is about 61186.6129149179. The cubic root of 3743801600 is about 1552.7597866965.

The spelling of 3743801600 in words is "three billion, seven hundred forty-three million, eight hundred one thousand, six hundred".