3416917440 has 448 divisors, whose sum is σ = 12064227840. Its totient is φ = 816168960.

The previous prime is 3416917423. The next prime is 3416917453. The reversal of 3416917440 is 447196143.

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 63 ways as a sum of consecutive naturals, for example, 41167639 + ... + 41167721.

It is an arithmetic number, because the mean of its divisors is an integer number (26929080).

Almost surely, 2^3416917440 is an apocalyptic number.

3416917440 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 3416917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

3416917440 is an abundant number, since it is smaller than the sum of its proper divisors (8647310400).

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

3416917440 is a wasteful number, since it uses less digits than its factorization.

3416917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3416917440 is about 58454.4047955327. The cubic root of 3416917440 is about 1506.1844577232.

The spelling of 3416917440 in words is "three billion, four hundred sixteen million, nine hundred seventeen thousand, four hundred forty".