3672637440 has 160 divisors (see below), whose sum is σ = 11777594400. Its totient is φ = 977272832.

The previous prime is 3672637429. The next prime is 3672637457. The reversal of 3672637440 is 447362763.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3672637392 and 3672637401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864087 + ... + 7864553.

It is an arithmetic number, because the mean of its divisors is an integer number (73609965).

Almost surely, 2^3672637440 is an apocalyptic number.

3672637440 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 3672637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888797200).

3672637440 is an abundant number, since it is smaller than the sum of its proper divisors (8104956960).

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

3672637440 is an frugal number, since it uses more digits than its factorization.

3672637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The square root of 3672637440 is about 60602.2890656780. The cubic root of 3672637440 is about 1542.8582214376.

The spelling of 3672637440 in words is "three billion, six hundred seventy-two million, six hundred thirty-seven thousand, four hundred forty".