3673200960 has 560 divisors, whose sum is σ = 15366016512. Its totient is φ = 821145600.

The previous prime is 3673200959. The next prime is 3673200961. The reversal of 3673200960 is 690023763.

3673200960 is a `hidden beast` number, since 367 + 3 + 200 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3673200959) and next prime (3673200961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673200961) 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, 3706065 + ... + 3707055.

Almost surely, 2^3673200960 is an apocalyptic number.

3673200960 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 3673200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683008256).

3673200960 is an abundant number, since it is smaller than the sum of its proper divisors (11692815552).

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

3673200960 is a wasteful number, since it uses less digits than its factorization.

3673200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3673200960 is about 60606.9382166761. The cubic root of 3673200960 is about 1542.9371281284.

The spelling of 3673200960 in words is "three billion, six hundred seventy-three million, two hundred thousand, nine hundred sixty".