3407718980160 has 896 divisors, whose sum is σ = 13753439193600. Its totient is φ = 786654167040.

The previous prime is 3407718980137. The next prime is 3407718980173. The reversal of 3407718980160 is 610898177043.

3407718980160 is a `hidden beast` number, since 3 + 407 + 71 + 8 + 9 + 8 + 0 + 160 = 666.

It is a super-2 number, since 2×3407718980160² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3407718980097 and 3407718980106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201191212 + ... + 201208148.

Almost surely, 2^{3407718980160} is an apocalyptic number.

3407718980160 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 3407718980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876719596800).

3407718980160 is an abundant number, since it is smaller than the sum of its proper divisors (10345720213440).

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

3407718980160 is a wasteful number, since it uses less digits than its factorization.

3407718980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17076 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3407718980160 in words is "three trillion, four hundred seven billion, seven hundred eighteen million, nine hundred eighty thousand, one hundred sixty".