3290877720 has 640 divisors, whose sum is σ = 12879820800. Its totient is φ = 747242496.

The previous prime is 3290877719. The next prime is 3290877739. The reversal of 3290877720 is 277780923.

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 159 ways as a sum of consecutive naturals, for example, 41656641 + ... + 41656719.

It is an arithmetic number, because the mean of its divisors is an integer number (20124720).

Almost surely, 2^3290877720 is an apocalyptic number.

3290877720 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 3290877720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439910400).

3290877720 is an abundant number, since it is smaller than the sum of its proper divisors (9588943080).

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

3290877720 is a wasteful number, since it uses less digits than its factorization.

3290877720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3290877720 is about 57366.1722620570. The cubic root of 3290877720 is about 1487.4324383315.

The spelling of 3290877720 in words is "three billion, two hundred ninety million, eight hundred seventy-seven thousand, seven hundred twenty".