3407042760 has 512 divisors, whose sum is σ = 12727756800. Its totient is φ = 718848000.

The previous prime is 3407042753. The next prime is 3407042767. The reversal of 3407042760 is 672407043.

It is an interprime number because it is at equal distance from previous prime (3407042753) and next prime (3407042767).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3407042767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26007895 + ... + 26008025.

It is an arithmetic number, because the mean of its divisors is an integer number (24858900).

Almost surely, 2^3407042760 is an apocalyptic number.

3407042760 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 3407042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363878400).

3407042760 is an abundant number, since it is smaller than the sum of its proper divisors (9320714040).

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

3407042760 is a wasteful number, since it uses less digits than its factorization.

3407042760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 3407042760 is about 58369.8788760093. The cubic root of 3407042760 is about 1504.7321311466.

The spelling of 3407042760 in words is "three billion, four hundred seven million, forty-two thousand, seven hundred sixty".