3352976640 has 576 divisors, whose sum is σ = 13598323200. Its totient is φ = 775028736.

The previous prime is 3352976617. The next prime is 3352976659. The reversal of 3352976640 is 466792533.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3352976640² = 22484904696771379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637541 + ... + 7637979.

It is an arithmetic number, because the mean of its divisors is an integer number (23608200).

Almost surely, 2^3352976640 is an apocalyptic number.

3352976640 is a gapful number since it is divisible by the number (30) 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 3352976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799161600).

3352976640 is an abundant number, since it is smaller than the sum of its proper divisors (10245346560).

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

3352976640 is a wasteful number, since it uses less digits than its factorization.

3352976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3352976640 is about 57904.8930574956. The cubic root of 3352976640 is about 1496.7301572650.

The spelling of 3352976640 in words is "three billion, three hundred fifty-two million, nine hundred seventy-six thousand, six hundred forty".