3673716480 has 216 divisors, whose sum is σ = 14526806112. Its totient is φ = 839688192.

The previous prime is 3673716451. The next prime is 3673716503. The reversal of 3673716480 is 846173763.

3673716480 is a `hidden beast` number, since 36 + 73 + 71 + 6 + 480 = 666.

3673716480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 57862 + ... + 103418.

It is an arithmetic number, because the mean of its divisors is an integer number (67253732).

Almost surely, 2^3673716480 is an apocalyptic number.

3673716480 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 3673716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263403056).

3673716480 is an abundant number, since it is smaller than the sum of its proper divisors (10853089632).

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

3673716480 is a wasteful number, since it uses less digits than its factorization.

3673716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45591 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3673716480 is about 60611.1910458786. The cubic root of 3673716480 is about 1543.0093065680.

The spelling of 3673716480 in words is "three billion, six hundred seventy-three million, seven hundred sixteen thousand, four hundred eighty".