3597812640 has 360 divisors, whose sum is σ = 13418157060. Its totient is φ = 907739136.

The previous prime is 3597812633. The next prime is 3597812681. The reversal of 3597812640 is 462187953.

3597812640 is a `hidden beast` number, since 3 + 597 + 8 + 12 + 6 + 40 = 666.

3597812640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3541202064 + 56610576 = 59508^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

3597812640 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678176 + ... + 4678944.

It is a 1-persistent number, because it is pandigital, but 2⋅3597812640 = 7195625280 is not.

Almost surely, 2^3597812640 is an apocalyptic number.

3597812640 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 3597812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709078530).

3597812640 is an abundant number, since it is smaller than the sum of its proper divisors (9820344420).

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

3597812640 is a wasteful number, since it uses less digits than its factorization.

3597812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3597812640 is about 59981.7692303253. The cubic root of 3597812640 is about 1532.3083954908.

The spelling of 3597812640 in words is "three billion, five hundred ninety-seven million, eight hundred twelve thousand, six hundred forty".