374434368000 has 2560 divisors, whose sum is σ = 1725695262720. Its totient is φ = 69672960000.

The previous prime is 374434367977. The next prime is 374434368047. The reversal of 374434368000 is 863434473.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8707775979 + ... + 8707776021.

It is an arithmetic number, because the mean of its divisors is an integer number (674099712).

Almost surely, 2^374434368000 is an apocalyptic number.

374434368000 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 374434368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862847631360).

374434368000 is an abundant number, since it is smaller than the sum of its proper divisors (1351260894720).

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

374434368000 is a wasteful number, since it uses less digits than its factorization.

374434368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 374434368000 in words is "three hundred seventy-four billion, four hundred thirty-four million, three hundred sixty-eight thousand".