3397203264 has 224 divisors, whose sum is σ = 11157078016. Its totient is φ = 888330240.

The previous prime is 3397203259. The next prime is 3397203269. The reversal of 3397203264 is 4623027933.

It is an interprime number because it is at equal distance from previous prime (3397203259) and next prime (3397203269).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397203269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218179 + ... + 2219709.

It is an arithmetic number, because the mean of its divisors is an integer number (49808384).

Almost surely, 2^3397203264 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 3397203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578539008).

3397203264 is an abundant number, since it is smaller than the sum of its proper divisors (7759874752).

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

3397203264 is a wasteful number, since it uses less digits than its factorization.

3397203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 3397203264 is about 58285.5322013963. The cubic root of 3397203264 is about 1503.2821853790.

The spelling of 3397203264 in words is "three billion, three hundred ninety-seven million, two hundred three thousand, two hundred sixty-four".