3390457280 has 448 divisors, whose sum is σ = 10446105600. Its totient is φ = 1021870080.

The previous prime is 3390457277. The next prime is 3390457307. The reversal of 3390457280 is 827540933.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3390457280² = 22990401135009996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 50603807 + ... + 50603873.

It is an arithmetic number, because the mean of its divisors is an integer number (23317200).

Almost surely, 2^3390457280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223052800).

3390457280 is an abundant number, since it is smaller than the sum of its proper divisors (7055648320).

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

3390457280 is a wasteful number, since it uses less digits than its factorization.

3390457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3390457280 is about 58227.6333024106. The cubic root of 3390457280 is about 1502.2864803084.

The spelling of 3390457280 in words is "three billion, three hundred ninety million, four hundred fifty-seven thousand, two hundred eighty".