374505005952 has 896 divisors, whose sum is σ = 1425593779200. Its totient is φ = 95118520320.

The previous prime is 374505005921. The next prime is 374505005971. The reversal of 374505005952 is 259500505473.

374505005952 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 0 + 50 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 374505005898 and 374505005907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 337695574 + ... + 337696682.

Almost surely, 2^374505005952 is an apocalyptic number.

374505005952 is a gapful number since it is divisible by the number (32) 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 374505005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712796889600).

374505005952 is an abundant number, since it is smaller than the sum of its proper divisors (1051088773248).

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

374505005952 is a wasteful number, since it uses less digits than its factorization.

374505005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 374505005952 in words is "three hundred seventy-four billion, five hundred five million, five thousand, nine hundred fifty-two".