3329657760 has 384 divisors, whose sum is σ = 12436623360. Its totient is φ = 738201600.

The previous prime is 3329657753. The next prime is 3329657761. The reversal of 3329657760 is 677569233.

It is a super-2 number, since 2×3329657760² = 22173241597456435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3329657761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12286425 + ... + 12286695.

It is an arithmetic number, because the mean of its divisors is an integer number (32387040).

Almost surely, 2^3329657760 is an apocalyptic number.

3329657760 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 3329657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3329657760 is an abundant number, since it is smaller than the sum of its proper divisors (9106965600).

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

3329657760 is a wasteful number, since it uses less digits than its factorization.

3329657760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 3329657760 is about 57703.1867404219. The cubic root of 3329657760 is about 1493.2523225257.

It can be divided in two parts, 332965 and 7760, that added together give a triangular number (340725 = T₈₂₅).

The spelling of 3329657760 in words is "three billion, three hundred twenty-nine million, six hundred fifty-seven thousand, seven hundred sixty".