351379392000 has 1920 divisors, whose sum is σ = 1558778981760. Its totient is φ = 69776179200.

The previous prime is 351379391947. The next prime is 351379392029. The reversal of 351379392000 is 293973153.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20669375992 + ... + 20669376008.

It is an arithmetic number, because the mean of its divisors is an integer number (811864053).

Almost surely, 2^351379392000 is an apocalyptic number.

351379392000 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 351379392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779389490880).

351379392000 is an abundant number, since it is smaller than the sum of its proper divisors (1207399589760).

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

351379392000 is an equidigital number, since it uses as much as digits as its factorization.

351379392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The spelling of 351379392000 in words is "three hundred fifty-one billion, three hundred seventy-nine million, three hundred ninety-two thousand".