3337736672 has 48 divisors (see below), whose sum is σ = 6913090800. Its totient is φ = 1583984640.

The previous prime is 3337736671. The next prime is 3337736681. The reversal of 3337736672 is 2766377333.

3337736672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3337736672² = 22280972183227271168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337736671) 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, 24272 + ... + 85232.

It is an arithmetic number, because the mean of its divisors is an integer number (144022725).

Almost surely, 2^3337736672 is an apocalyptic number.

3337736672 is a gapful number since it is divisible by the number (32) 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 3337736672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456545400).

3337736672 is an abundant number, since it is smaller than the sum of its proper divisors (3575354128).

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

3337736672 is a wasteful number, since it uses less digits than its factorization.

3337736672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61059 (or 61051 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 47.

The square root of 3337736672 is about 57773.1483649628. The cubic root of 3337736672 is about 1494.4590641858.

The spelling of 3337736672 in words is "three billion, three hundred thirty-seven million, seven hundred thirty-six thousand, six hundred seventy-two".