3380572416 has 288 divisors, whose sum is σ = 10384174080. Its totient is φ = 967680000.

The previous prime is 3380572411. The next prime is 3380572471. The reversal of 3380572416 is 6142750833.

It is a super-2 number, since 2×3380572416² = 22856539719640154112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3380572411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13468291 + ... + 13468541.

It is an arithmetic number, because the mean of its divisors is an integer number (36056160).

Almost surely, 2^3380572416 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 3380572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192087040).

3380572416 is an abundant number, since it is smaller than the sum of its proper divisors (7003601664).

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

3380572416 is a wasteful number, since it uses less digits than its factorization.

3380572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3380572416 is about 58142.6901338423. The cubic root of 3380572416 is about 1500.8250891798.

The spelling of 3380572416 in words is "three billion, three hundred eighty million, five hundred seventy-two thousand, four hundred sixteen".