3764872800 has 864 divisors, whose sum is σ = 15781802400. Its totient is φ = 836075520.

The previous prime is 3764872799. The next prime is 3764872807. The reversal of 3764872800 is 82784673.

It is a happy number.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764872807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51573564 + ... + 51573636.

It is an arithmetic number, because the mean of its divisors is an integer number (18265975).

Almost surely, 2^3764872800 is an apocalyptic number.

3764872800 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 3764872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890901200).

3764872800 is an abundant number, since it is smaller than the sum of its proper divisors (12016929600).

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

3764872800 is a wasteful number, since it uses less digits than its factorization.

3764872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3764872800 is about 61358.5593051206. The cubic root of 3764872800 is about 1555.6674657205.

The spelling of 3764872800 in words is "three billion, seven hundred sixty-four million, eight hundred seventy-two thousand, eight hundred".