3476292768 has 192 divisors, whose sum is σ = 11009617920. Its totient is φ = 1060770816.

The previous prime is 3476292761. The next prime is 3476292779. The reversal of 3476292768 is 8672926743.

3476292768 is a `hidden beast` number, since 3 + 4 + 7 + 629 + 2 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×3476292768² = 24169222817698203648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3476292761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425246 + ... + 1427682.

It is an arithmetic number, because the mean of its divisors is an integer number (57341760).

Almost surely, 2^3476292768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3476292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504808960).

3476292768 is an abundant number, since it is smaller than the sum of its proper divisors (7533325152).

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

3476292768 is a wasteful number, since it uses less digits than its factorization.

3476292768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2582 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3476292768 is about 58960.0947082007. The cubic root of 3476292768 is about 1514.8586634152.

The spelling of 3476292768 in words is "three billion, four hundred seventy-six million, two hundred ninety-two thousand, seven hundred sixty-eight".