3573021632400 has 540 divisors, whose sum is σ = 13727351375920. Its totient is φ = 859940928000.

The previous prime is 3573021632393. The next prime is 3573021632441. The reversal of 3573021632400 is 42361203753.

3573021632400 is a `hidden beast` number, since 3 + 5 + 7 + 3 + 0 + 216 + 32 + 400 = 666.

It is a super-3 number, since 3×3573021632400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60518895 + ... + 60577905.

Almost surely, 2^{3573021632400} is an apocalyptic number.

3573021632400 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 3573021632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863675687960).

3573021632400 is an abundant number, since it is smaller than the sum of its proper divisors (10154329743520).

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

3573021632400 is a wasteful number, since it uses less digits than its factorization.

3573021632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59196 (or 59171 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3573021632400 in words is "three trillion, five hundred seventy-three billion, twenty-one million, six hundred thirty-two thousand, four hundred".