3537072000 has 1152 divisors, whose sum is σ = 16507108800. Its totient is φ = 709632000.

The previous prime is 3537071999. The next prime is 3537072031. The reversal of 3537072000 is 2707353.

3537072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121967986 + ... + 121968014.

Almost surely, 2^3537072000 is an apocalyptic number.

3537072000 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 3537072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253554400).

3537072000 is an abundant number, since it is smaller than the sum of its proper divisors (12970036800).

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

3537072000 is a wasteful number, since it uses less digits than its factorization.

3537072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3537072000 is about 59473.2881216433. The cubic root of 3537072000 is about 1523.6362617983.

Adding to 3537072000 its reverse (2707353), we get a palindrome (3539779353).

The spelling of 3537072000 in words is "three billion, five hundred thirty-seven million, seventy-two thousand".