3537262872 has 320 divisors, whose sum is σ = 11855289600. Its totient is φ = 971170560.

The previous prime is 3537262871. The next prime is 3537262919. The reversal of 3537262872 is 2782627353.

3537262872 is a `hidden beast` number, since 3 + 537 + 26 + 28 + 72 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (735).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537262871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5466853 + ... + 5467499.

It is an arithmetic number, because the mean of its divisors is an integer number (37047780).

Almost surely, 2^3537262872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537262872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800).

3537262872 is an abundant number, since it is smaller than the sum of its proper divisors (8318026728).

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

3537262872 is a wasteful number, since it uses less digits than its factorization.

3537262872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 3537262872 is about 59474.8927867886. The cubic root of 3537262872 is about 1523.6636681078.

The spelling of 3537262872 in words is "three billion, five hundred thirty-seven million, two hundred sixty-two thousand, eight hundred seventy-two".