3416605920 has 480 divisors, whose sum is σ = 14845457088. Its totient is φ = 720617472.

The previous prime is 3416605919. The next prime is 3416605987. The reversal of 3416605920 is 295066143.

It is a happy number.

3416605920 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 60 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1177912 + ... + 1180808.

Almost surely, 2^3416605920 is an apocalyptic number.

3416605920 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 3416605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422728544).

3416605920 is an abundant number, since it is smaller than the sum of its proper divisors (11428851168).

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

3416605920 is a wasteful number, since it uses less digits than its factorization.

3416605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3416605920 is about 58451.7400938586. The cubic root of 3416605920 is about 1506.1386834398.

The spelling of 3416605920 in words is "three billion, four hundred sixteen million, six hundred five thousand, nine hundred twenty".