3692680992 has 288 divisors, whose sum is σ = 14100428160. Its totient is φ = 885288960.

The previous prime is 3692680987. The next prime is 3692680997. The reversal of 3692680992 is 2990862963.

It is an interprime number because it is at equal distance from previous prime (3692680987) and next prime (3692680997).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3692680997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281884 + ... + 294692.

It is an arithmetic number, because the mean of its divisors is an integer number (48959820).

Almost surely, 2^3692680992 is an apocalyptic number.

3692680992 is a gapful number since it is divisible by the number (32) 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 3692680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050214080).

3692680992 is an abundant number, since it is smaller than the sum of its proper divisors (10407747168).

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

3692680992 is a wasteful number, since it uses less digits than its factorization.

3692680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12856 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3692680992 is about 60767.4336466499. The cubic root of 3692680992 is about 1545.6598658061.

The spelling of 3692680992 in words is "three billion, six hundred ninety-two million, six hundred eighty thousand, nine hundred ninety-two".