3414954816 has 672 divisors, whose sum is σ = 13254492160. Its totient is φ = 846526464.

The previous prime is 3414954791. The next prime is 3414954833. The reversal of 3414954816 is 6184594143.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26889345 + ... + 26889471.

Almost surely, 2^3414954816 is an apocalyptic number.

3414954816 is a gapful number since it is divisible by the number (36) 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 3414954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627246080).

3414954816 is an abundant number, since it is smaller than the sum of its proper divisors (9839537344).

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

3414954816 is a wasteful number, since it uses less digits than its factorization.

3414954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3414954816 is about 58437.6147357162. The cubic root of 3414954816 is about 1505.8960262181.

The spelling of 3414954816 in words is "three billion, four hundred fourteen million, nine hundred fifty-four thousand, eight hundred sixteen".