2348732736 has 336 divisors, whose sum is σ = 8130844800. Its totient is φ = 634023936.

The previous prime is 2348732693. The next prime is 2348732759. The reversal of 2348732736 is 6372378432.

2348732736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2348732691 and 2348732700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6196995 + ... + 6197373.

Almost surely, 2^2348732736 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 2348732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065422400).

2348732736 is an abundant number, since it is smaller than the sum of its proper divisors (5782112064).

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

2348732736 is a wasteful number, since it uses less digits than its factorization.

2348732736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 2348732736 is about 48463.7259813977. The cubic root of 2348732736 is about 1329.2638691208.

The spelling of 2348732736 in words is "two billion, three hundred forty-eight million, seven hundred thirty-two thousand, seven hundred thirty-six".