3692116440 has 384 divisors, whose sum is σ = 13373942400. Its totient is φ = 879083520.

The previous prime is 3692116433. The next prime is 3692116453. The reversal of 3692116440 is 446112963.

3692116440 is a `hidden beast` number, since 3 + 6 + 9 + 2 + 1 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3692116395 and 3692116404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12600934 + ... + 12601226.

It is an arithmetic number, because the mean of its divisors is an integer number (34827975).

Almost surely, 2^3692116440 is an apocalyptic number.

3692116440 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 3692116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686971200).

3692116440 is an abundant number, since it is smaller than the sum of its proper divisors (9681825960).

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

3692116440 is a wasteful number, since it uses less digits than its factorization.

3692116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3692116440 is about 60762.7882836198. The cubic root of 3692116440 is about 1545.5810928818.

It can be divided in two parts, 36921 and 16440, that added together give a square (53361 = 231²).

The spelling of 3692116440 in words is "three billion, six hundred ninety-two million, one hundred sixteen thousand, four hundred forty".