3672290880 has 168 divisors, whose sum is σ = 13067004600. Its totient is φ = 945487872.

The previous prime is 3672290861. The next prime is 3672290899. The reversal of 3672290880 is 880922763.

It is an interprime number because it is at equal distance from previous prime (3672290861) and next prime (3672290899).

It can be written as a sum of positive squares in 4 ways, for example, as 614643264 + 3057647616 = 24792^2 + 55296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61536 + ... + 105504.

Almost surely, 2^3672290880 is an apocalyptic number.

3672290880 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 3672290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533502300).

3672290880 is an abundant number, since it is smaller than the sum of its proper divisors (9394713720).

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

3672290880 is a wasteful number, since it uses less digits than its factorization.

3672290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44021 (or 44008 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3672290880 is about 60599.4297002868. The cubic root of 3672290880 is about 1542.8096904865.

The spelling of 3672290880 in words is "three billion, six hundred seventy-two million, two hundred ninety thousand, eight hundred eighty".