3416302560 has 192 divisors, whose sum is σ = 11933236224. Its totient is φ = 814540800.

The previous prime is 3416302523. The next prime is 3416302633. The reversal of 3416302560 is 652036143.

It is a super-2 number, since 2×3416302560² = 23342246362925107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316777 + ... + 327383.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 2^3416302560 is an apocalyptic number.

3416302560 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 3416302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966618112).

3416302560 is an abundant number, since it is smaller than the sum of its proper divisors (8516933664).

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

3416302560 is a wasteful number, since it uses less digits than its factorization.

3416302560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3416302560 is about 58449.1450750137. The cubic root of 3416302560 is about 1506.0941055005.

The spelling of 3416302560 in words is "three billion, four hundred sixteen million, three hundred two thousand, five hundred sixty".