354604330080 has 2304 divisors, whose sum is σ = 1783192320000. Its totient is φ = 61683793920.

The previous prime is 354604330049. The next prime is 354604330103. The reversal of 354604330080 is 80033406453.

354604330080 is a `hidden beast` number, since 3 + 546 + 0 + 4 + 3 + 30 + 0 + 80 = 666.

It is a super-2 number, since 2×354604330080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 710629671 + ... + 710630169.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^354604330080 is an apocalyptic number.

354604330080 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 354604330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160000).

354604330080 is an abundant number, since it is smaller than the sum of its proper divisors (1428587989920).

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

354604330080 is a wasteful number, since it uses less digits than its factorization.

354604330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 354604330080 in words is "three hundred fifty-four billion, six hundred four million, three hundred thirty thousand, eighty".