3407768388 has 48 divisors (see below), whose sum is σ = 9354663360. Its totient is φ = 1069103232.

The previous prime is 3407768387. The next prime is 3407768443. The reversal of 3407768388 is 8838677043.

3407768388 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407768388² = 23225770772504237088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3407768387) 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, 926206 + ... + 929877.

It is an arithmetic number, because the mean of its divisors is an integer number (194888820).

Almost surely, 2^3407768388 is an apocalyptic number.

It is an amenable number.

3407768388 is an abundant number, since it is smaller than the sum of its proper divisors (5946894972).

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

3407768388 is a wasteful number, since it uses less digits than its factorization.

3407768388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856113 (or 1856105 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3407768388 is about 58376.0943195072. The cubic root of 3407768388 is about 1504.8389489294.

The spelling of 3407768388 in words is "three billion, four hundred seven million, seven hundred sixty-eight thousand, three hundred eighty-eight".