376855034400 has 1296 divisors, whose sum is σ = 1566352418904. Its totient is φ = 84456898560.

The previous prime is 376855034371. The next prime is 376855034401. The reversal of 376855034400 is 4430558673.

376855034400 is a `hidden beast` number, since 3 + 7 + 68 + 550 + 34 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 4789193616 + 372065840784 = 69204^2 + 609972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (376855034401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2178352714 + ... + 2178352886.

Almost surely, 2^376855034400 is an apocalyptic number.

376855034400 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 376855034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783176209452).

376855034400 is an abundant number, since it is smaller than the sum of its proper divisors (1189497384504).

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

376855034400 is a wasteful number, since it uses less digits than its factorization.

376855034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 376855034400 in words is "three hundred seventy-six billion, eight hundred fifty-five million, thirty-four thousand, four hundred".