3407685120 has 320 divisors, whose sum is σ = 13835543040. Its totient is φ = 778788864.

The previous prime is 3407685119. The next prime is 3407685143. The reversal of 3407685120 is 215867043.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3407685120² = 23224635754138828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480319 + ... + 487361.

It is an arithmetic number, because the mean of its divisors is an integer number (43236072).

Almost surely, 2^3407685120 is an apocalyptic number.

3407685120 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 3407685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917771520).

3407685120 is an abundant number, since it is smaller than the sum of its proper divisors (10427857920).

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

3407685120 is an equidigital number, since it uses as much as digits as its factorization.

3407685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3407685120 is about 58375.3811122463. The cubic root of 3407685120 is about 1504.8266920371.

The spelling of 3407685120 in words is "three billion, four hundred seven million, six hundred eighty-five thousand, one hundred twenty".