3514438656 has 264 divisors, whose sum is σ = 10622259648. Its totient is φ = 1118208000.

The previous prime is 3514438643. The next prime is 3514438657. The reversal of 3514438656 is 6568344153.

3514438656 is a `hidden beast` number, since 3 + 514 + 4 + 3 + 86 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514438657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26827711 + ... + 26827841.

It is an arithmetic number, because the mean of its divisors is an integer number (40235832).

Almost surely, 2^3514438656 is an apocalyptic number.

3514438656 is a gapful number since it is divisible by the number (36) 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 3514438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311129824).

3514438656 is an abundant number, since it is smaller than the sum of its proper divisors (7107820992).

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

3514438656 is a wasteful number, since it uses less digits than its factorization.

3514438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3514438656 is about 59282.7011530345. The cubic root of 3514438656 is about 1520.3794435896.

The spelling of 3514438656 in words is "three billion, five hundred fourteen million, four hundred thirty-eight thousand, six hundred fifty-six".