3337798464 has 504 divisors, whose sum is σ = 13090660128. Its totient is φ = 799303680.

The previous prime is 3337798423. The next prime is 3337798469. The reversal of 3337798464 is 4648977333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3337798464² = 22281797172561518592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3337798464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337798469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035619 + ... + 4036445.

It is an arithmetic number, because the mean of its divisors is an integer number (25973532).

Almost surely, 2^3337798464 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 3337798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545330064).

3337798464 is an abundant number, since it is smaller than the sum of its proper divisors (9752861664).

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

3337798464 is a wasteful number, since it uses less digits than its factorization.

3337798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3337798464 is about 57773.6831437983. The cubic root of 3337798464 is about 1494.4682865075.

It can be divided in two parts, 333779 and 8464, that added together give a palindrome (342243).

The spelling of 3337798464 in words is "three billion, three hundred thirty-seven million, seven hundred ninety-eight thousand, four hundred sixty-four".