3072940416 has 320 divisors, whose sum is σ = 11258866080. Its totient is φ = 810196992.

The previous prime is 3072940333. The next prime is 3072940487. The reversal of 3072940416 is 6140492703.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 941860 + ... + 945116.

Almost surely, 2^3072940416 is an apocalyptic number.

3072940416 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 3072940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629433040).

3072940416 is an abundant number, since it is smaller than the sum of its proper divisors (8185925664).

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

3072940416 is a wasteful number, since it uses less digits than its factorization.

3072940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3072940416 is about 55434.1087778996. The cubic root of 3072940416 is about 1453.8447967427.

The spelling of 3072940416 in words is "three billion, seventy-two million, nine hundred forty thousand, four hundred sixteen".