3407400703377 has 64 divisors (see below), whose sum is σ = 5611597056000. Its totient is φ = 2025844666560.

The previous prime is 3407400703373. The next prime is 3407400703423. The reversal of 3407400703377 is 7733070047043.

It is not a de Polignac number, because 3407400703377 - 2² = 3407400703373 is a prime.

It is a super-2 number, since 2×3407400703377² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407400703373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184144708 + ... + 184163210.

It is an arithmetic number, because the mean of its divisors is an integer number (87681204000).

Almost surely, 2^{3407400703377} is an apocalyptic number.

It is an amenable number.

3407400703377 is a deficient number, since it is larger than the sum of its proper divisors (2204196352623).

3407400703377 is a wasteful number, since it uses less digits than its factorization.

3407400703377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30269 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 45.

The spelling of 3407400703377 in words is "three trillion, four hundred seven billion, four hundred million, seven hundred three thousand, three hundred seventy-seven".