3476368896 has 960 divisors, whose sum is σ = 14106597120. Its totient is φ = 743178240.

The previous prime is 3476368859. The next prime is 3476368933. The reversal of 3476368896 is 6988636743.

It is an interprime number because it is at equal distance from previous prime (3476368859) and next prime (3476368933).

Its product of digits (31352832) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182966775 + ... + 182966793.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^3476368896 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 3476368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

3476368896 is an abundant number, since it is smaller than the sum of its proper divisors (10630228224).

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

3476368896 is a wasteful number, since it uses less digits than its factorization.

3476368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The square root of 3476368896 is about 58960.7402938599. The cubic root of 3476368896 is about 1514.8697213944.

The spelling of 3476368896 in words is "three billion, four hundred seventy-six million, three hundred sixty-eight thousand, eight hundred ninety-six".