375728480400 has 480 divisors, whose sum is σ = 1494491846400. Its totient is φ = 78570455040.

The previous prime is 375728480377. The next prime is 375728480417. The reversal of 375728480400 is 4084827573.

It is a super-5 number, since 5×375728480400⁵ (a number of 59 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 375728480400.

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, 12324376 + ... + 12354824.

It is an arithmetic number, because the mean of its divisors is an integer number (3113524680).

Almost surely, 2^375728480400 is an apocalyptic number.

375728480400 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 375728480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747245923200).

375728480400 is an abundant number, since it is smaller than the sum of its proper divisors (1118763366000).

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

375728480400 is a wasteful number, since it uses less digits than its factorization.

375728480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30603 (or 30592 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 375728480400 in words is "three hundred seventy-five billion, seven hundred twenty-eight million, four hundred eighty thousand, four hundred".