3752985600 has 792 divisors, whose sum is σ = 16630810560. Its totient is φ = 787415040.

The previous prime is 3752985589. The next prime is 3752985611. The reversal of 3752985600 is 65892573.

It is a happy number.

3752985600 is a `hidden beast` number, since 37 + 5 + 2 + 9 + 8 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3752985589) and next prime (3752985611).

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

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, 20966311 + ... + 20966489.

Almost surely, 2^3752985600 is an apocalyptic number.

3752985600 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 3752985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315405280).

3752985600 is an abundant number, since it is smaller than the sum of its proper divisors (12877824960).

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

3752985600 is a wasteful number, since it uses less digits than its factorization.

3752985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3752985600 is about 61261.6160413680. The cubic root of 3752985600 is about 1554.0284526426.

The spelling of 3752985600 in words is "three billion, seven hundred fifty-two million, nine hundred eighty-five thousand, six hundred".