3514134400 has 192 divisors, whose sum is σ = 10093104000. Its totient is φ = 1183979520.

The previous prime is 3514134383. The next prime is 3514134439. The reversal of 3514134400 is 44314153.

3514134400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320271 + ... + 1322929.

It is an arithmetic number, because the mean of its divisors is an integer number (52568250).

Almost surely, 2^3514134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046552000).

3514134400 is an abundant number, since it is smaller than the sum of its proper divisors (6578969600).

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

3514134400 is a wasteful number, since it uses less digits than its factorization.

3514134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3514134400 is about 59280.1349526129. The cubic root of 3514134400 is about 1520.3355676478.

Adding to 3514134400 its reverse (44314153), we get a palindrome (3558448553).

The spelling of 3514134400 in words is "three billion, five hundred fourteen million, one hundred thirty-four thousand, four hundred".