3575775974400 has 2640 divisors, whose sum is σ = 16443595149696. Its totient is φ = 749123665920.

The previous prime is 3575775974389. The next prime is 3575775974453. The reversal of 3575775974400 is 44795775753.

3575775974400 is a `hidden beast` number, since 3 + 5 + 7 + 577 + 59 + 7 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10610611032 + ... + 10610611368.

Almost surely, 2^{3575775974400} is an apocalyptic number.

3575775974400 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 3575775974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221797574848).

3575775974400 is an abundant number, since it is smaller than the sum of its proper divisors (12867819175296).

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

3575775974400 is a wasteful number, since it uses less digits than its factorization.

3575775974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 63.

The spelling of 3575775974400 in words is "three trillion, five hundred seventy-five billion, seven hundred seventy-five million, nine hundred seventy-four thousand, four hundred".