354938126304 has 384 divisors, whose sum is σ = 1086898176000. Its totient is φ = 100598243328.

The previous prime is 354938126297. The next prime is 354938126359. The reversal of 354938126304 is 403621839453.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341614617 + ... + 341615655.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464000).

Almost surely, 2^354938126304 is an apocalyptic number.

354938126304 is a gapful number since it is divisible by the number (34) 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 354938126304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543449088000).

354938126304 is an abundant number, since it is smaller than the sum of its proper divisors (731960049696).

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

354938126304 is a wasteful number, since it uses less digits than its factorization.

354938126304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 354938126304 in words is "three hundred fifty-four billion, nine hundred thirty-eight million, one hundred twenty-six thousand, three hundred four".