3416733760 has 112 divisors (see below), whose sum is σ = 8897843520. Its totient is φ = 1239357440.

The previous prime is 3416733739. The next prime is 3416733787. The reversal of 3416733760 is 673376143.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790727 + ... + 1792633.

Almost surely, 2^3416733760 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 3416733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448921760).

3416733760 is an abundant number, since it is smaller than the sum of its proper divisors (5481109760).

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

3416733760 is a wasteful number, since it uses less digits than its factorization.

3416733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The square root of 3416733760 is about 58452.8336353337. The cubic root of 3416733760 is about 1506.1574683950.

The spelling of 3416733760 in words is "three billion, four hundred sixteen million, seven hundred thirty-three thousand, seven hundred sixty".