354169920 has 336 divisors, whose sum is σ = 1271747520. Its totient is φ = 83386368.

The previous prime is 354169913. The next prime is 354169943. The reversal of 354169920 is 29961453.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6002851 + ... + 6002909.

Almost surely, 2^354169920 is an apocalyptic number.

354169920 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 354169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635873760).

354169920 is an abundant number, since it is smaller than the sum of its proper divisors (917577600).

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

354169920 is a wasteful number, since it uses less digits than its factorization.

354169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 354169920 is about 18819.4027535414. The cubic root of 354169920 is about 707.5175621091.

The spelling of 354169920 in words is "three hundred fifty-four million, one hundred sixty-nine thousand, nine hundred twenty".