351977472000 has 1728 divisors, whose sum is σ = 1633155084288. Its totient is φ = 70778880000.

The previous prime is 351977471999. The next prime is 351977472047. The reversal of 351977472000 is 274779153.

351977472000 is a `hidden beast` number, since 3 + 519 + 77 + 47 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11354111985 + ... + 11354112015.

It is an arithmetic number, because the mean of its divisors is an integer number (945112896).

Almost surely, 2^351977472000 is an apocalyptic number.

351977472000 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 351977472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816577542144).

351977472000 is an abundant number, since it is smaller than the sum of its proper divisors (1281177612288).

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

351977472000 is an equidigital number, since it uses as much as digits as its factorization.

351977472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 351977472000 in words is "three hundred fifty-one billion, nine hundred seventy-seven million, four hundred seventy-two thousand".