3766752000 has 864 divisors, whose sum is σ = 15668976960. Its totient is φ = 860160000.

The previous prime is 3766751983. The next prime is 3766752019. The reversal of 3766752000 is 2576673.

It is a happy number.

3766752000 is a `hidden beast` number, since 3 + 76 + 67 + 520 + 0 + 0 = 666.

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

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, 91871980 + ... + 91872020.

It is an arithmetic number, because the mean of its divisors is an integer number (18135390).

Almost surely, 2^3766752000 is an apocalyptic number.

3766752000 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 3766752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834488480).

3766752000 is an abundant number, since it is smaller than the sum of its proper divisors (11902224960).

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

3766752000 is a wasteful number, since it uses less digits than its factorization.

3766752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3766752000 is about 61373.8706617075. The cubic root of 3766752000 is about 1555.9262548124.

The spelling of 3766752000 in words is "three billion, seven hundred sixty-six million, seven hundred fifty-two thousand".