3352829760 has 560 divisors, whose sum is σ = 14445471744. Its totient is φ = 720617472.

The previous prime is 3352829749. The next prime is 3352829791. The reversal of 3352829760 is 679282533.

3352829760 is a `hidden beast` number, since 3 + 352 + 8 + 297 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3352829760² = 22482934799083315200, 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 79 ways as a sum of consecutive naturals, for example, 3083937 + ... + 3085023.

Almost surely, 2^3352829760 is an apocalyptic number.

3352829760 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 3352829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222735872).

3352829760 is an abundant number, since it is smaller than the sum of its proper divisors (11092641984).

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

3352829760 is a wasteful number, since it uses less digits than its factorization.

3352829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3352829760 is about 57903.6247570046. The cubic root of 3352829760 is about 1496.7083017657.

The spelling of 3352829760 in words is "three billion, three hundred fifty-two million, eight hundred twenty-nine thousand, seven hundred sixty".