354572449920 has 512 divisors, whose sum is σ = 1361462054400. Its totient is φ = 86693068800.

The previous prime is 354572449897. The next prime is 354572449937. The reversal of 354572449920 is 29944275453.

It is a happy number.

354572449920 is a `hidden beast` number, since 3 + 5 + 4 + 572 + 4 + 49 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33915414 + ... + 33925866.

It is an arithmetic number, because the mean of its divisors is an integer number (2659105575).

Almost surely, 2^354572449920 is an apocalyptic number.

354572449920 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 354572449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680731027200).

354572449920 is an abundant number, since it is smaller than the sum of its proper divisors (1006889604480).

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

354572449920 is a wasteful number, since it uses less digits than its factorization.

354572449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 354572449920 in words is "three hundred fifty-four billion, five hundred seventy-two million, four hundred forty-nine thousand, nine hundred twenty".