3597384960 has 720 divisors, whose sum is σ = 14771178576. Its totient is φ = 828112896.

The previous prime is 3597384941. The next prime is 3597384979. The reversal of 3597384960 is 694837953.

3597384960 is a `hidden beast` number, since 3 + 597 + 3 + 8 + 49 + 6 + 0 = 666.

3597384960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3597384941) and next prime (3597384979).

It can be written as a sum of positive squares in 8 ways, for example, as 179345664 + 3418039296 = 13392^2 + 58464^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3597384897 and 3597384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22913202 + ... + 22913358.

Almost surely, 2^3597384960 is an apocalyptic number.

3597384960 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 3597384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7385589288).

3597384960 is an abundant number, since it is smaller than the sum of its proper divisors (11173793616).

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

3597384960 is a wasteful number, since it uses less digits than its factorization.

3597384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3597384960 is about 59978.2040411348. The cubic root of 3597384960 is about 1532.2476767811.

The spelling of 3597384960 in words is "three billion, five hundred ninety-seven million, three hundred eighty-four thousand, nine hundred sixty".