3650599680 has 576 divisors, whose sum is σ = 14856511488. Its totient is φ = 743178240.

The previous prime is 3650599661. The next prime is 3650599727. The reversal of 3650599680 is 869950563.

3650599680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3650599680² = 26653756047232204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10832472 + ... + 10832808.

Almost surely, 2^3650599680 is an apocalyptic number.

3650599680 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 3650599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428255744).

3650599680 is an abundant number, since it is smaller than the sum of its proper divisors (11205911808).

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

3650599680 is a wasteful number, since it uses less digits than its factorization.

3650599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 3650599680 is about 60420.1926511328. The cubic root of 3650599680 is about 1539.7660408063.

The spelling of 3650599680 in words is "three billion, six hundred fifty million, five hundred ninety-nine thousand, six hundred eighty".