3672525824 has 66 divisors (see below), whose sum is σ = 8022921732. Its totient is φ = 1666406400.

The previous prime is 3672525823. The next prime is 3672525853. The reversal of 3672525824 is 4285252763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (3672525823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6431459 + ... + 6432029.

Almost surely, 2^3672525824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011460866).

3672525824 is an abundant number, since it is smaller than the sum of its proper divisors (4350395908).

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

3672525824 is an frugal number, since it uses more digits than its factorization.

3672525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 584 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 3672525824 is about 60601.3681693739. The cubic root of 3672525824 is about 1542.8425914886.

Multiplying 3672525824 by its sum of digits (44), we get a square (161591136256 = 401984²).

3672525824 divided by its sum of digits (44) gives a square (83466496 = 9136²).

The spelling of 3672525824 in words is "three billion, six hundred seventy-two million, five hundred twenty-five thousand, eight hundred twenty-four".