354968640 has 336 divisors, whose sum is σ = 1386840000. Its totient is φ = 82612224.

The previous prime is 354968633. The next prime is 354968651. The reversal of 354968640 is 46869453.

354968640 is a `hidden beast` number, since 3 + 549 + 68 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 711111 + ... + 711609.

It is an arithmetic number, because the mean of its divisors is an integer number (4127500).

Almost surely, 2^354968640 is an apocalyptic number.

354968640 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 354968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693420000).

354968640 is an abundant number, since it is smaller than the sum of its proper divisors (1031871360).

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

354968640 is a wasteful number, since it uses less digits than its factorization.

354968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 354968640 is about 18840.6114550457. The cubic root of 354968640 is about 708.0490246623.

The spelling of 354968640 in words is "three hundred fifty-four million, nine hundred sixty-eight thousand, six hundred forty".