3572121600 has 720 divisors, whose sum is σ = 14627188800. Its totient is φ = 849346560.

The previous prime is 3572121593. The next prime is 3572121601. The reversal of 3572121600 is 61212753.

It is a happy number.

3572121600 is a `hidden beast` number, since 3 + 57 + 2 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×3572121600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3572121601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188006391 + ... + 188006409.

It is an arithmetic number, because the mean of its divisors is an integer number (20315540).

Almost surely, 2^3572121600 is an apocalyptic number.

3572121600 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 3572121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313594400).

3572121600 is an abundant number, since it is smaller than the sum of its proper divisors (11055067200).

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

3572121600 is a wasteful number, since it uses less digits than its factorization.

3572121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3572121600 is about 59767.2284784898. The cubic root of 3572121600 is about 1528.6524081892.

The spelling of 3572121600 in words is "three billion, five hundred seventy-two million, one hundred twenty-one thousand, six hundred".