3279953820 has 384 divisors, whose sum is σ = 11583129600. Its totient is φ = 681246720.

The previous prime is 3279953777. The next prime is 3279953839. The reversal of 3279953820 is 283599723.

It is a happy number.

It is a super-2 number, since 2×3279953820² = 21516194122665184800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3279953820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16482081 + ... + 16482279.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^3279953820 is an apocalyptic number.

3279953820 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 3279953820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

3279953820 is an abundant number, since it is smaller than the sum of its proper divisors (8303175780).

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

3279953820 is a wasteful number, since it uses less digits than its factorization.

3279953820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3279953820 is about 57270.8810827981. The cubic root of 3279953820 is about 1485.7847953029.

The spelling of 3279953820 in words is "three billion, two hundred seventy-nine million, nine hundred fifty-three thousand, eight hundred twenty".