3672864440 has 32 divisors (see below), whose sum is σ = 9444509280. Its totient is φ = 1259267712.

The previous prime is 3672864439. The next prime is 3672864443. The reversal of 3672864440 is 444682763.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3672864391 and 3672864400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672864443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6558407 + ... + 6558966.

It is an arithmetic number, because the mean of its divisors is an integer number (295140915).

Almost surely, 2^3672864440 is an apocalyptic number.

It is an amenable number.

3672864440 is an abundant number, since it is smaller than the sum of its proper divisors (5771644840).

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

3672864440 is a wasteful number, since it uses less digits than its factorization.

3672864440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117391 (or 13117387 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The square root of 3672864440 is about 60604.1619032885. The cubic root of 3672864440 is about 1542.8900080039.

The spelling of 3672864440 in words is "three billion, six hundred seventy-two million, eight hundred sixty-four thousand, four hundred forty".