3321137376 has 336 divisors, whose sum is σ = 10576742400. Its totient is φ = 1022886144.

The previous prime is 3321137321. The next prime is 3321137387. The reversal of 3321137376 is 6737311233.

It is a happy number.

3321137376 is a `hidden beast` number, since 3 + 3 + 211 + 373 + 76 = 666.

It is a super-2 number, since 2×3321137376² = 22059906940528330752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3321137376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26150625 + ... + 26150751.

It is an arithmetic number, because the mean of its divisors is an integer number (31478400).

Almost surely, 2^3321137376 is an apocalyptic number.

3321137376 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 3321137376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288371200).

3321137376 is an abundant number, since it is smaller than the sum of its proper divisors (7255605024).

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

3321137376 is a wasteful number, since it uses less digits than its factorization.

3321137376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 3321137376 is about 57629.3100427204. The cubic root of 3321137376 is about 1491.9775217212.

The spelling of 3321137376 in words is "three billion, three hundred twenty-one million, one hundred thirty-seven thousand, three hundred seventy-six".