3476270407680 has 896 divisors, whose sum is σ = 14185612431360. Its totient is φ = 791166320640.

The previous prime is 3476270407669. The next prime is 3476270407777. The reversal of 3476270407680 is 867040726743.

3476270407680 is a `hidden beast` number, since 3 + 4 + 7 + 627 + 0 + 4 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2097929412 + ... + 2097931068.

Almost surely, 2^{3476270407680} is an apocalyptic number.

3476270407680 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 3476270407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092806215680).

3476270407680 is an abundant number, since it is smaller than the sum of its proper divisors (10709342023680).

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

3476270407680 is a wasteful number, since it uses less digits than its factorization.

3476270407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 3476270407680 in words is "three trillion, four hundred seventy-six billion, two hundred seventy million, four hundred seven thousand, six hundred eighty".