354621081907200 has 624 divisors, whose sum is σ = 1306778709381120. Its totient is φ = 84318549442560.

The previous prime is 354621081907189. The next prime is 354621081907243. The reversal of 354621081907200 is 2709180126453.

It is a super-2 number, since 2×354621081907200² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 354621081907200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97438657 + ... + 101012543.

It is a 1-persistent number, because it is pandigital, but 2⋅354621081907200 = 709242163814400 is not.

Almost surely, 2^{354621081907200} is an apocalyptic number.

354621081907200 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 354621081907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653389354690560).

354621081907200 is an abundant number, since it is smaller than the sum of its proper divisors (952157627473920).

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

354621081907200 is a wasteful number, since it uses less digits than its factorization.

354621081907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573960 (or 3573933 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 354621081907200 in words is "three hundred fifty-four trillion, six hundred twenty-one billion, eighty-one million, nine hundred seven thousand, two hundred".