1357964352 has 280 divisors, whose sum is σ = 4492081440. Its totient is φ = 403107840.

The previous prime is 1357964339. The next prime is 1357964359. The reversal of 1357964352 is 2534697531.

1357964352 is a `hidden beast` number, since 13 + 579 + 64 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1357964298 and 1357964307.

It is not an unprimeable number, because it can be changed into a prime (1357964359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1674027 + ... + 1674837.

It is an arithmetic number, because the mean of its divisors is an integer number (16043148).

Almost surely, 2^1357964352 is an apocalyptic number.

1357964352 is a gapful number since it is divisible by the number (12) 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 1357964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246040720).

1357964352 is an abundant number, since it is smaller than the sum of its proper divisors (3134117088).

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

1357964352 is a wasteful number, since it uses less digits than its factorization.

1357964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 1357964352 is about 36850.5678653667. The cubic root of 1357964352 is about 1107.3785912870.

The spelling of 1357964352 in words is "one billion, three hundred fifty-seven million, nine hundred sixty-four thousand, three hundred fifty-two".