356949888134400 has 6048 divisors, whose sum is σ = 1641653338711680. Its totient is φ = 75676778496000.

The previous prime is 356949888134363. The next prime is 356949888134423. The reversal of 356949888134400 is 4431888949653.

356949888134400 is a `hidden beast` number, since 3 + 5 + 6 + 9 + 4 + 9 + 8 + 88 + 134 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1011189484624 + ... + 1011189484976.

It is an arithmetic number, because the mean of its divisors is an integer number (271437390660).

Almost surely, 2^{356949888134400} is an apocalyptic number.

356949888134400 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 356949888134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820826669355840).

356949888134400 is an abundant number, since it is smaller than the sum of its proper divisors (1284703450577280).

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

356949888134400 is a wasteful number, since it uses less digits than its factorization.

356949888134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 356949888134400 in words is "three hundred fifty-six trillion, nine hundred forty-nine billion, eight hundred eighty-eight million, one hundred thirty-four thousand, four hundred".