3597972480 has 352 divisors, whose sum is σ = 13547537280. Its totient is φ = 902430720.

The previous prime is 3597972479. The next prime is 3597972527. The reversal of 3597972480 is 842797953.

3597972480 is a `hidden beast` number, since 3 + 5 + 97 + 9 + 72 + 480 = 666.

It is a super-3 number, since 3×3597972480³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2349315 + ... + 2350845.

Almost surely, 2^3597972480 is an apocalyptic number.

3597972480 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 3597972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773768640).

3597972480 is an abundant number, since it is smaller than the sum of its proper divisors (9949564800).

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

3597972480 is a wasteful number, since it uses less digits than its factorization.

3597972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3597972480 is about 59983.1016203730. The cubic root of 3597972480 is about 1532.3310871067.

The spelling of 3597972480 in words is "three billion, five hundred ninety-seven million, nine hundred seventy-two thousand, four hundred eighty".