3625047360 has 672 divisors, whose sum is σ = 14789578752. Its totient is φ = 805109760.

The previous prime is 3625047353. The next prime is 3625047383. The reversal of 3625047360 is 637405263.

3625047360 is a `hidden beast` number, since 3 + 6 + 250 + 47 + 360 = 666.

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

It is a congruent number.

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, 28543617 + ... + 28543743.

Almost surely, 2^3625047360 is an apocalyptic number.

3625047360 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 3625047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394789376).

3625047360 is an abundant number, since it is smaller than the sum of its proper divisors (11164531392).

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

3625047360 is a wasteful number, since it uses less digits than its factorization.

3625047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3625047360 is about 60208.3661960695. The cubic root of 3625047360 is about 1536.1651026954.

The spelling of 3625047360 in words is "three billion, six hundred twenty-five million, forty-seven thousand, three hundred sixty".