3077015040 has 800 divisors, whose sum is σ = 12833821440. Its totient is φ = 696729600.

The previous prime is 3077015017. The next prime is 3077015057. The reversal of 3077015040 is 405107703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3077014995 and 3077015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43338205 + ... + 43338275.

Almost surely, 2^3077015040 is an apocalyptic number.

3077015040 is a gapful number since it is divisible by the number (30) 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 3077015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416910720).

3077015040 is an abundant number, since it is smaller than the sum of its proper divisors (9756806400).

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

3077015040 is a wasteful number, since it uses less digits than its factorization.

3077015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 3077015040 is about 55470.8485603024. The cubic root of 3077015040 is about 1454.4870973557.

The spelling of 3077015040 in words is "three billion, seventy-seven million, fifteen thousand, forty".