3479750376960 has 1280 divisors, whose sum is σ = 13589850193920. Its totient is φ = 748044288000.

The previous prime is 3479750376941. The next prime is 3479750377003. The reversal of 3479750376960 is 696730579743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3479750376891 and 3479750376900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6094133475 + ... + 6094134045.

It is an arithmetic number, because the mean of its divisors is an integer number (10617070464).

Almost surely, 2^{3479750376960} is an apocalyptic number.

3479750376960 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 3479750376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794925096960).

3479750376960 is an abundant number, since it is smaller than the sum of its proper divisors (10110099816960).

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

3479750376960 is a wasteful number, since it uses less digits than its factorization.

3479750376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 66.

The spelling of 3479750376960 in words is "three trillion, four hundred seventy-nine billion, seven hundred fifty million, three hundred seventy-six thousand, nine hundred sixty".