3002978640 has 80 divisors (see below), whose sum is σ = 9322189056. Its totient is φ = 799680000.

The previous prime is 3002978603. The next prime is 3002978663. The reversal of 3002978640 is 468792003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171910 + ... + 188570.

Almost surely, 2^3002978640 is an apocalyptic number.

3002978640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002978640 is an abundant number, since it is smaller than the sum of its proper divisors (6319210416).

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

3002978640 is a wasteful number, since it uses less digits than its factorization.

3002978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17428 (or 17422 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3002978640 is about 54799.4401431256. The cubic root of 3002978640 is about 1442.7267393362.

The spelling of 3002978640 in words is "three billion, two million, nine hundred seventy-eight thousand, six hundred forty".