3476180736 has 324 divisors, whose sum is σ = 11959313184. Its totient is φ = 967680000.

The previous prime is 3476180713. The next prime is 3476180737. The reversal of 3476180736 is 6370816743.

It is a junction number, because it is equal to n+sod(n) for n = 3476180691 and 3476180700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476180737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4628361 + ... + 4629111.

Almost surely, 2^3476180736 is an apocalyptic number.

3476180736 is a gapful number since it is divisible by the number (36) 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 3476180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979656592).

3476180736 is an abundant number, since it is smaller than the sum of its proper divisors (8483132448).

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

3476180736 is a wasteful number, since it uses less digits than its factorization.

3476180736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3476180736 is about 58959.1446342296. The cubic root of 3476180736 is about 1514.8423899039.

The spelling of 3476180736 in words is "three billion, four hundred seventy-six million, one hundred eighty thousand, seven hundred thirty-six".