3414561540 has 192 divisors, whose sum is σ = 10536583680. Its totient is φ = 821145600.

The previous prime is 3414561533. The next prime is 3414561551. The reversal of 3414561540 is 451654143.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7011177 + ... + 7011663.

It is an arithmetic number, because the mean of its divisors is an integer number (54878040).

Almost surely, 2^3414561540 is an apocalyptic number.

3414561540 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 3414561540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268291840).

3414561540 is an abundant number, since it is smaller than the sum of its proper divisors (7122022140).

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

3414561540 is a wasteful number, since it uses less digits than its factorization.

3414561540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3414561540 is about 58434.2497170966. The cubic root of 3414561540 is about 1505.8382162291.

The spelling of 3414561540 in words is "three billion, four hundred fourteen million, five hundred sixty-one thousand, five hundred forty".