3647604480 has 288 divisors, whose sum is σ = 12702070080. Its totient is φ = 886702080.

The previous prime is 3647604469. The next prime is 3647604497. The reversal of 3647604480 is 844067463.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442470 + ... + 4443290.

It is an arithmetic number, because the mean of its divisors is an integer number (44104410).

Almost surely, 2^3647604480 is an apocalyptic number.

3647604480 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 3647604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351035040).

3647604480 is an abundant number, since it is smaller than the sum of its proper divisors (9054465600).

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

3647604480 is a wasteful number, since it uses less digits than its factorization.

3647604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3647604480 is about 60395.4011494253. The cubic root of 3647604480 is about 1539.3448160275.

The spelling of 3647604480 in words is "three billion, six hundred forty-seven million, six hundred four thousand, four hundred eighty".