3416734440 has 512 divisors, whose sum is σ = 13713408000. Its totient is φ = 740275200.

The previous prime is 3416734439. The next prime is 3416734457. The reversal of 3416734440 is 444376143.

It is a super-3 number, since 3×3416734440³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 3416734395 and 3416734404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14295841 + ... + 14296079.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 2^3416734440 is an apocalyptic number.

3416734440 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 3416734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704000).

3416734440 is an abundant number, since it is smaller than the sum of its proper divisors (10296673560).

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

3416734440 is a wasteful number, since it uses less digits than its factorization.

3416734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3416734440 is about 58452.8394519890. The cubic root of 3416734440 is about 1506.1575683138.

The spelling of 3416734440 in words is "three billion, four hundred sixteen million, seven hundred thirty-four thousand, four hundred forty".