3421379903760 has 240 divisors, whose sum is σ = 14141703873024. Its totient is φ = 721873548288.

The previous prime is 3421379903731. The next prime is 3421379903791. The reversal of 3421379903760 is 673099731243.

3421379903760 is a `hidden beast` number, since 3 + 421 + 3 + 79 + 90 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3421379903697 and 3421379903706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26043912 + ... + 26174951.

Almost surely, 2^{3421379903760} is an apocalyptic number.

3421379903760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3421379903760 is an abundant number, since it is smaller than the sum of its proper divisors (10720323969264).

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

3421379903760 is a wasteful number, since it uses less digits than its factorization.

3421379903760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52218902 (or 52218893 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3421379903760 in words is "three trillion, four hundred twenty-one billion, three hundred seventy-nine million, nine hundred three thousand, seven hundred sixty".