1357329792 has 384 divisors, whose sum is σ = 4688409600. Its totient is φ = 344494080.

The previous prime is 1357329781. The next prime is 1357329811. The reversal of 1357329792 is 2979237531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 7582759 + ... + 7582937.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^1357329792 is an apocalyptic number.

1357329792 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 1357329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

1357329792 is an abundant number, since it is smaller than the sum of its proper divisors (3331079808).

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

1357329792 is a wasteful number, since it uses less digits than its factorization.

1357329792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its digits is 714420, while the sum is 48.

The square root of 1357329792 is about 36841.9569512804. The cubic root of 1357329792 is about 1107.2060762917.

It can be divided in two parts, 13573 and 29792, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 1357329792 in words is "one billion, three hundred fifty-seven million, three hundred twenty-nine thousand, seven hundred ninety-two".