354113760 has 576 divisors, whose sum is σ = 1531547136. Its totient is φ = 66908160.

The previous prime is 354113737. The next prime is 354113783. The reversal of 354113760 is 67311453.

It is an interprime number because it is at equal distance from previous prime (354113737) and next prime (354113783).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5285247 + ... + 5285313.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2^354113760 is an apocalyptic number.

354113760 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 354113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765773568).

354113760 is an abundant number, since it is smaller than the sum of its proper divisors (1177433376).

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

354113760 is a wasteful number, since it uses less digits than its factorization.

354113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 354113760 is about 18817.9106172816. The cubic root of 354113760 is about 707.4801635946.

The spelling of 354113760 in words is "three hundred fifty-four million, one hundred thirteen thousand, seven hundred sixty".