3537607920 has 960 divisors, whose sum is σ = 15389015040. Its totient is φ = 662323200.

The previous prime is 3537607919. The next prime is 3537607951. The reversal of 3537607920 is 297067353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86283100 + ... + 86283140.

It is an arithmetic number, because the mean of its divisors is an integer number (16030224).

Almost surely, 2^3537607920 is an apocalyptic number.

3537607920 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 3537607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694507520).

3537607920 is an abundant number, since it is smaller than the sum of its proper divisors (11851407120).

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

3537607920 is a wasteful number, since it uses less digits than its factorization.

3537607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 3537607920 is about 59477.7935031218. The cubic root of 3537607920 is about 1523.7132092386.

The spelling of 3537607920 in words is "three billion, five hundred thirty-seven million, six hundred seven thousand, nine hundred twenty".