3390102464 has 224 divisors, whose sum is σ = 8553517056. Its totient is φ = 1299824640.

The previous prime is 3390102451. The next prime is 3390102539. The reversal of 3390102464 is 4642010933.

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

It is a super-3 number, since 3×3390102464³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3390102464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19595882 + ... + 19596054.

It is an arithmetic number, because the mean of its divisors is an integer number (38185344).

Almost surely, 2^3390102464 is an apocalyptic number.

3390102464 is a gapful number since it is divisible by the number (34) 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 3390102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276758528).

3390102464 is an abundant number, since it is smaller than the sum of its proper divisors (5163414592).

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

3390102464 is a wasteful number, since it uses less digits than its factorization.

3390102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 3390102464 is about 58224.5864218888. The cubic root of 3390102464 is about 1502.2340730339.

The spelling of 3390102464 in words is "three billion, three hundred ninety million, one hundred two thousand, four hundred sixty-four".