3362425440 has 384 divisors, whose sum is σ = 12307438080. Its totient is φ = 769443840.

The previous prime is 3362425433. The next prime is 3362425471. The reversal of 3362425440 is 445242633.

It is a super-2 number, since 2×3362425440² = 22611809679118387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 12138582 + ... + 12138858.

It is an arithmetic number, because the mean of its divisors is an integer number (32050620).

Almost surely, 2^3362425440 is an apocalyptic number.

3362425440 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 3362425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153719040).

3362425440 is an abundant number, since it is smaller than the sum of its proper divisors (8945012640).

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

3362425440 is a wasteful number, since it uses less digits than its factorization.

3362425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 3362425440 is about 57986.4246181811. The cubic root of 3362425440 is about 1498.1347838293.

The spelling of 3362425440 in words is "three billion, three hundred sixty-two million, four hundred twenty-five thousand, four hundred forty".