3407404704 has 96 divisors (see below), whose sum is σ = 9768439296. Its totient is φ = 1031397120.

The previous prime is 3407404699. The next prime is 3407404709. The reversal of 3407404704 is 4074047043.

It is an interprime number because it is at equal distance from previous prime (3407404699) and next prime (3407404709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3407404704² = 23220813633682655232, which contains 22 as substring.

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 (3407404709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1843909 + ... + 1845755.

It is an arithmetic number, because the mean of its divisors is an integer number (101754576).

Almost surely, 2^3407404704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884219648).

3407404704 is an abundant number, since it is smaller than the sum of its proper divisors (6361034592).

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

3407404704 is a wasteful number, since it uses less digits than its factorization.

3407404704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 3407404704 is about 58372.9792284067. The cubic root of 3407404704 is about 1504.7854138632.

The spelling of 3407404704 in words is "three billion, four hundred seven million, four hundred four thousand, seven hundred four".