3414764460 has 96 divisors (see below), whose sum is σ = 10089515520. Its totient is φ = 861194752.

The previous prime is 3414764453. The next prime is 3414764467. The reversal of 3414764460 is 644674143.

3414764460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3414764453) and next prime (3414764467).

It is not an unprimeable number, because it can be changed into a prime (3414764467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108919 + ... + 136721.

It is an arithmetic number, because the mean of its divisors is an integer number (105099120).

Almost surely, 2^3414764460 is an apocalyptic number.

3414764460 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 3414764460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044757760).

3414764460 is an abundant number, since it is smaller than the sum of its proper divisors (6674751060).

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

3414764460 is a wasteful number, since it uses less digits than its factorization.

3414764460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27927 (or 27925 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3414764460 is about 58435.9860017780. The cubic root of 3414764460 is about 1505.8680452066.

The spelling of 3414764460 in words is "three billion, four hundred fourteen million, seven hundred sixty-four thousand, four hundred sixty".