354377625000 has 448 divisors, whose sum is σ = 1276783656960. Its totient is φ = 80287200000.

The previous prime is 354377624927. The next prime is 354377625037. The reversal of 354377625000 is 526773453.

It is a super-2 number, since 2×354377625000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 111 ways as a sum of consecutive naturals, for example, 333374469 + ... + 333375531.

It is an arithmetic number, because the mean of its divisors is an integer number (2849963520).

Almost surely, 2^354377625000 is an apocalyptic number.

354377625000 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 354377625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638391828480).

354377625000 is an abundant number, since it is smaller than the sum of its proper divisors (922406031960).

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

354377625000 is a wasteful number, since it uses less digits than its factorization.

354377625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 354377625000 in words is "three hundred fifty-four billion, three hundred seventy-seven million, six hundred twenty-five thousand".