3725836800 has 480 divisors, whose sum is σ = 14321083392. Its totient is φ = 836321280.

The previous prime is 3725836757. The next prime is 3725836811. The reversal of 3725836800 is 86385273.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) 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 (42).

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, 22310317 + ... + 22310483.

Almost surely, 2^3725836800 is an apocalyptic number.

3725836800 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 3725836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160541696).

3725836800 is an abundant number, since it is smaller than the sum of its proper divisors (10595246592).

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

3725836800 is a wasteful number, since it uses less digits than its factorization.

3725836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3725836800 is about 61039.6330264198. The cubic root of 3725836800 is about 1550.2721409085.

The spelling of 3725836800 in words is "three billion, seven hundred twenty-five million, eight hundred thirty-six thousand, eight hundred".