3346759944 has 320 divisors, whose sum is σ = 11008483200. Its totient is φ = 938649600.

The previous prime is 3346759943. The next prime is 3346759967. The reversal of 3346759944 is 4499576433.

It is a happy number.

3346759944 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 7 + 599 + 44 = 666.

It is a super-2 number, since 2×3346759944² = 22401604245525766272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3346759943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8603302 + ... + 8603690.

It is an arithmetic number, because the mean of its divisors is an integer number (34401510).

Almost surely, 2^3346759944 is an apocalyptic number.

3346759944 is a gapful number since it is divisible by the number (34) 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 3346759944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504241600).

3346759944 is an abundant number, since it is smaller than the sum of its proper divisors (7661723256).

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

3346759944 is a wasteful number, since it uses less digits than its factorization.

3346759944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3346759944 is about 57851.1879221162. The cubic root of 3346759944 is about 1495.8045644875.

The spelling of 3346759944 in words is "three billion, three hundred forty-six million, seven hundred fifty-nine thousand, nine hundred forty-four".