3376879632 has 280 divisors, whose sum is σ = 11417215680. Its totient is φ = 947116800.

The previous prime is 3376879613. The next prime is 3376879657. The reversal of 3376879632 is 2369786733.

It is a super-2 number, since 2×3376879632² = 22806632098032910848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4816882 + ... + 4817582.

Almost surely, 2^3376879632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376879632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708607840).

3376879632 is an abundant number, since it is smaller than the sum of its proper divisors (8040336048).

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

3376879632 is an equidigital number, since it uses as much as digits as its factorization.

3376879632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 772 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3376879632 is about 58110.9252378587. The cubic root of 3376879632 is about 1500.2784123212.

The spelling of 3376879632 in words is "three billion, three hundred seventy-six million, eight hundred seventy-nine thousand, six hundred thirty-two".