3687233040 has 120 divisors (see below), whose sum is σ = 12921405120. Its totient is φ = 940507392.

The previous prime is 3687232999. The next prime is 3687233041. The reversal of 3687233040 is 403327863.

3687233040 is digitally balanced in base 2 and base 4, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3687232986 and 3687233004.

It is not an unprimeable number, because it can be changed into a prime (3687233041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94770 + ... + 127889.

It is an arithmetic number, because the mean of its divisors is an integer number (107678376).

Almost surely, 2^3687233040 is an apocalyptic number.

3687233040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3687233040 is an abundant number, since it is smaller than the sum of its proper divisors (9234172080).

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

3687233040 is a wasteful number, since it uses less digits than its factorization.

3687233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222701 (or 222692 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3687233040 is about 60722.5908538165. The cubic root of 3687233040 is about 1544.8993681903.

The spelling of 3687233040 in words is "three billion, six hundred eighty-seven million, two hundred thirty-three thousand, forty".