375842867400 has 2880 divisors, whose sum is σ = 1843871568000. Its totient is φ = 70413235200.

The previous prime is 375842867399. The next prime is 375842867447. The reversal of 375842867400 is 4768248573.

375842867400 is a `hidden beast` number, since 37 + 584 + 28 + 6 + 7 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 8740531779 + ... + 8740531821.

Almost surely, 2^375842867400 is an apocalyptic number.

375842867400 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 375842867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921935784000).

375842867400 is an abundant number, since it is smaller than the sum of its proper divisors (1468028700600).

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

375842867400 is a wasteful number, since it uses less digits than its factorization.

375842867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 375842867400 in words is "three hundred seventy-five billion, eight hundred forty-two million, eight hundred sixty-seven thousand, four hundred".