3076240440 has 512 divisors, whose sum is σ = 12245022720. Its totient is φ = 599851008.

The previous prime is 3076240439. The next prime is 3076240463. The reversal of 3076240440 is 440426703.

It is a super-3 number, since 3×3076240440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3076240398 and 3076240407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13551607 + ... + 13551833.

It is an arithmetic number, because the mean of its divisors is an integer number (23916060).

Almost surely, 2^3076240440 is an apocalyptic number.

3076240440 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 3076240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122511360).

3076240440 is an abundant number, since it is smaller than the sum of its proper divisors (9168782280).

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

3076240440 is a wasteful number, since it uses less digits than its factorization.

3076240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3076240440 is about 55463.8660751304. The cubic root of 3076240440 is about 1454.3650374758.

The spelling of 3076240440 in words is "three billion, seventy-six million, two hundred forty thousand, four hundred forty".