3537457920 has 504 divisors, whose sum is σ = 13511788416. Its totient is φ = 883851264.

The previous prime is 3537457919. The next prime is 3537457933. The reversal of 3537457920 is 297547353.

3537457920 is a `hidden beast` number, since 3 + 5 + 3 + 74 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15862929 + ... + 15863151.

It is an arithmetic number, because the mean of its divisors is an integer number (26809104).

Almost surely, 2^3537457920 is an apocalyptic number.

3537457920 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 3537457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755894208).

3537457920 is an abundant number, since it is smaller than the sum of its proper divisors (9974330496).

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

3537457920 is an equidigital number, since it uses as much as digits as its factorization.

3537457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3537457920 is about 59476.5325149340. The cubic root of 3537457920 is about 1523.6916730087.

The spelling of 3537457920 in words is "three billion, five hundred thirty-seven million, four hundred fifty-seven thousand, nine hundred twenty".