356874336 has 480 divisors, whose sum is σ = 1383117120. Its totient is φ = 87588864.

The previous prime is 356874317. The next prime is 356874347. The reversal of 356874336 is 633478653.

It is a junction number, because it is equal to n+sod(n) for n = 356874291 and 356874300.

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, 4009780 + ... + 4009868.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2^356874336 is an apocalyptic number.

356874336 is a gapful number since it is divisible by the number (36) 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 356874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691558560).

356874336 is an abundant number, since it is smaller than the sum of its proper divisors (1026242784).

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

356874336 is a wasteful number, since it uses less digits than its factorization.

356874336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 356874336 is about 18891.1179129241. The cubic root of 356874336 is about 709.3138487811.

The spelling of 356874336 in words is "three hundred fifty-six million, eight hundred seventy-four thousand, three hundred thirty-six".