3414251040534 has 160 divisors (see below), whose sum is σ = 8531386300800. Its totient is φ = 1014218392320.

The previous prime is 3414251040523. The next prime is 3414251040559. The reversal of 3414251040534 is 4350401524143.

3414251040534 is a `hidden beast` number, since 3 + 4 + 14 + 2 + 5 + 104 + 0 + 534 = 666.

It is a super-2 number, since 2×3414251040534² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103536669 + ... + 103569639.

It is an arithmetic number, because the mean of its divisors is an integer number (53321164380).

Almost surely, 2^{3414251040534} is an apocalyptic number.

3414251040534 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414251040534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265693150400).

3414251040534 is an abundant number, since it is smaller than the sum of its proper divisors (5117135260266).

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

3414251040534 is a wasteful number, since it uses less digits than its factorization.

3414251040534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35000 (or 34991 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 3414251040534 its reverse (4350401524143), we get a palindrome (7764652564677).

The spelling of 3414251040534 in words is "three trillion, four hundred fourteen billion, two hundred fifty-one million, forty thousand, five hundred thirty-four".