3313973376 has 384 divisors, whose sum is σ = 11609395200. Its totient is φ = 887169024.

The previous prime is 3313973371. The next prime is 3313973381. The reversal of 3313973376 is 6733793133.

It is an interprime number because it is at equal distance from previous prime (3313973371) and next prime (3313973381).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3313973371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8652481 + ... + 8652863.

It is an arithmetic number, because the mean of its divisors is an integer number (30232800).

Almost surely, 2^3313973376 is an apocalyptic number.

3313973376 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 3313973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804697600).

3313973376 is an abundant number, since it is smaller than the sum of its proper divisors (8295421824).

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

3313973376 is a wasteful number, since it uses less digits than its factorization.

3313973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its digits is 642978, while the sum is 45.

The square root of 3313973376 is about 57567.1206158515. The cubic root of 3313973376 is about 1490.9039716732.

The spelling of 3313973376 in words is "three billion, three hundred thirteen million, nine hundred seventy-three thousand, three hundred seventy-six".