3832085376 has 480 divisors, whose sum is σ = 13999530600. Its totient is φ = 1034643456.

The previous prime is 3832085363. The next prime is 3832085381. The reversal of 3832085376 is 6735802383.

It is a super-2 number, since 2×3832085376² = 29369756657906122752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652410 + ... + 9652806.

Almost surely, 2^3832085376 is an apocalyptic number.

3832085376 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 3832085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999765300).

3832085376 is an abundant number, since it is smaller than the sum of its proper divisors (10167445224).

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

3832085376 is a wasteful number, since it uses less digits than its factorization.

3832085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3832085376 is about 61903.8397516665. The cubic root of 3832085376 is about 1564.8704586438.

The spelling of 3832085376 in words is "three billion, eight hundred thirty-two million, eighty-five thousand, three hundred seventy-six".