3690750480 has 80 divisors (see below), whose sum is σ = 11460873600. Its totient is φ = 982518784.

The previous prime is 3690750463. The next prime is 3690750509. The reversal of 3690750480 is 840570963.

It is a happy number.

3690750480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130924 + ... + 156596.

It is an arithmetic number, because the mean of its divisors is an integer number (143260920).

Almost surely, 2^3690750480 is an apocalyptic number.

3690750480 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 3690750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730436800).

3690750480 is an abundant number, since it is smaller than the sum of its proper divisors (7770123120).

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

3690750480 is a wasteful number, since it uses less digits than its factorization.

3690750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26288 (or 26282 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3690750480 is about 60751.5471407930. The cubic root of 3690750480 is about 1545.3904648779.

The spelling of 3690750480 in words is "three billion, six hundred ninety million, seven hundred fifty thousand, four hundred eighty".