3456871776 has 48 divisors (see below), whose sum is σ = 10082545200. Its totient is φ = 1152290304.

The previous prime is 3456871771. The next prime is 3456871787. The reversal of 3456871776 is 6771786543.

3456871776 is a `hidden beast` number, since 3 + 4 + 568 + 7 + 1 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456871771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1999641 + ... + 2001368.

It is an arithmetic number, because the mean of its divisors is an integer number (210053025).

Almost surely, 2^3456871776 is an apocalyptic number.

3456871776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3456871776 is an abundant number, since it is smaller than the sum of its proper divisors (6625673424).

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

3456871776 is a wasteful number, since it uses less digits than its factorization.

3456871776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001028 (or 4001014 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3456871776 is about 58795.1679647231. The cubic root of 3456871776 is about 1512.0323752201.

The spelling of 3456871776 in words is "three billion, four hundred fifty-six million, eight hundred seventy-one thousand, seven hundred seventy-six".