3712385376 has 216 divisors, whose sum is σ = 12736183824. Its totient is φ = 1004659200.

The previous prime is 3712385363. The next prime is 3712385389. The reversal of 3712385376 is 6735832173.

It is an interprime number because it is at equal distance from previous prime (3712385363) and next prime (3712385389).

It is a super-2 number, since 2×3712385376² = 27563610359877322752, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 725226 + ... + 730326.

It is an arithmetic number, because the mean of its divisors is an integer number (58963814).

Almost surely, 2^3712385376 is an apocalyptic number.

3712385376 is a gapful number since it is divisible by the number (36) 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 3712385376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368091912).

3712385376 is an abundant number, since it is smaller than the sum of its proper divisors (9023798448).

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

3712385376 is a wasteful number, since it uses less digits than its factorization.

3712385376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5132 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3712385376 is about 60929.3474115717. The cubic root of 3712385376 is about 1548.4042371181.

The spelling of 3712385376 in words is "three billion, seven hundred twelve million, three hundred eighty-five thousand, three hundred seventy-six".