3414137340 has 96 divisors (see below), whose sum is σ = 9860465664. Its totient is φ = 882169600.

The previous prime is 3414137333. The next prime is 3414137357. The reversal of 3414137340 is 437314143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3414137298 and 3414137307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278827 + ... + 290813.

It is an arithmetic number, because the mean of its divisors is an integer number (102713184).

Almost surely, 2^3414137340 is an apocalyptic number.

3414137340 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 3414137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930232832).

3414137340 is an abundant number, since it is smaller than the sum of its proper divisors (6446328324).

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

3414137340 is a wasteful number, since it uses less digits than its factorization.

3414137340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12147 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3414137340 is about 58430.6198837562. The cubic root of 3414137340 is about 1505.7758555601.

The spelling of 3414137340 in words is "three billion, four hundred fourteen million, one hundred thirty-seven thousand, three hundred forty".