375343803752400 has 3240 divisors, whose sum is σ = 1668233885572800. Its totient is φ = 80795307479040.

The previous prime is 375343803752321. The next prime is 375343803752441. The reversal of 375343803752400 is 4257308343573.

375343803752400 is a `hidden beast` number, since 3 + 7 + 5 + 3 + 4 + 3 + 80 + 37 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 342154788652 + ... + 342154789748.

It is an arithmetic number, because the mean of its divisors is an integer number (514887001720).

Almost surely, 2^{375343803752400} is an apocalyptic number.

375343803752400 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 375343803752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834116942786400).

375343803752400 is an abundant number, since it is smaller than the sum of its proper divisors (1292890081820400).

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

375343803752400 is a wasteful number, since it uses less digits than its factorization.

375343803752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 375343803752400 in words is "three hundred seventy-five trillion, three hundred forty-three billion, eight hundred three million, seven hundred fifty-two thousand, four hundred".