3745929600 has 576 divisors, whose sum is σ = 16189187040. Its totient is φ = 805109760.

The previous prime is 3745929503. The next prime is 3745929611. The reversal of 3745929600 is 69295473.

It is a happy number.

3745929600 is a `hidden beast` number, since 37 + 4 + 5 + 9 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3745929600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3426654 + ... + 3427746.

Almost surely, 2^3745929600 is an apocalyptic number.

3745929600 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 3745929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094593520).

3745929600 is an abundant number, since it is smaller than the sum of its proper divisors (12443257440).

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

3745929600 is a wasteful number, since it uses less digits than its factorization.

3745929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3745929600 is about 61203.9998692896. Note that the first 3 decimals coincide. The cubic root of 3745929600 is about 1553.0539303968.

The spelling of 3745929600 in words is "three billion, seven hundred forty-five million, nine hundred twenty-nine thousand, six hundred".