354961875974400 has 756 divisors, whose sum is σ = 1317868482964068. Its totient is φ = 94613968650240.

The previous prime is 354961875974323. The next prime is 354961875974467. The reversal of 354961875974400 is 4479578169453.

354961875974400 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 61 + 8 + 75 + 97 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38655366414336 + 316306509560064 = 6217344^2 + 17785008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11164764904 + ... + 11164796696.

It is an arithmetic number, because the mean of its divisors is an integer number (1743212279053).

Almost surely, 2^{354961875974400} is an apocalyptic number.

354961875974400 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 354961875974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658934241482034).

354961875974400 is an abundant number, since it is smaller than the sum of its proper divisors (962906606989668).

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

354961875974400 is an equidigital number, since it uses as much as digits as its factorization.

354961875974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34230 (or 34196 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 354961875974400 in words is "three hundred fifty-four trillion, nine hundred sixty-one billion, eight hundred seventy-five million, nine hundred seventy-four thousand, four hundred".