3399387264 has 384 divisors, whose sum is σ = 12495799680. Its totient is φ = 895795200.

The previous prime is 3399387263. The next prime is 3399387287. The reversal of 3399387264 is 4627839933.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 3399387264.

It is not an unprimeable number, because it can be changed into a prime (3399387263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829864 + ... + 2831064.

It is an arithmetic number, because the mean of its divisors is an integer number (32541145).

Almost surely, 2^3399387264 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 3399387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247899840).

3399387264 is an abundant number, since it is smaller than the sum of its proper divisors (9096412416).

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

3399387264 is a wasteful number, since it uses less digits than its factorization.

3399387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1226 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3399387264 is about 58304.2645438565. The cubic root of 3399387264 is about 1503.6042606004.

The spelling of 3399387264 in words is "three billion, three hundred ninety-nine million, three hundred eighty-seven thousand, two hundred sixty-four".