3634025472 has 440 divisors, whose sum is σ = 13553432640. Its totient is φ = 942243840.

The previous prime is 3634025471. The next prime is 3634025497. The reversal of 3634025472 is 2745204363.

3634025472 is a `hidden beast` number, since 363 + 40 + 254 + 7 + 2 = 666.

It is a super-2 number, since 2×3634025472² = 26412282262289645568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634025471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386404 + ... + 6386972.

It is an arithmetic number, because the mean of its divisors is an integer number (30803256).

Almost surely, 2^3634025472 is an apocalyptic number.

3634025472 is a gapful number since it is divisible by the number (32) 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 3634025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776716320).

3634025472 is an abundant number, since it is smaller than the sum of its proper divisors (9919407168).

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

3634025472 is a wasteful number, since it uses less digits than its factorization.

3634025472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3634025472 is about 60282.8787633769. The cubic root of 3634025472 is about 1537.4322578125.

The spelling of 3634025472 in words is "three billion, six hundred thirty-four million, twenty-five thousand, four hundred seventy-two".