354397680 has 400 divisors, whose sum is σ = 1517444544. Its totient is φ = 74649600.

The previous prime is 354397669. The next prime is 354397717. The reversal of 354397680 is 86793453.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589380 + ... + 589980.

Almost surely, 2^354397680 is an apocalyptic number.

354397680 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 354397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758722272).

354397680 is an abundant number, since it is smaller than the sum of its proper divisors (1163046864).

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

354397680 is a wasteful number, since it uses less digits than its factorization.

354397680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 354397680 is about 18825.4529825978. The cubic root of 354397680 is about 707.6691933462.

The spelling of 354397680 in words is "three hundred fifty-four million, three hundred ninety-seven thousand, six hundred eighty".