3692270400 has 672 divisors, whose sum is σ = 15239024640. Its totient is φ = 761978880.

The previous prime is 3692270381. The next prime is 3692270429. The reversal of 3692270400 is 40722963.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34507147 + ... + 34507253.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 2^3692270400 is an apocalyptic number.

3692270400 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 3692270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619512320).

3692270400 is an abundant number, since it is smaller than the sum of its proper divisors (11546754240).

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

3692270400 is a wasteful number, since it uses less digits than its factorization.

3692270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3692270400 is about 60764.0551642169. The cubic root of 3692270400 is about 1545.6025759851.

The spelling of 3692270400 in words is "three billion, six hundred ninety-two million, two hundred seventy thousand, four hundred".