3514065223680 has 1824 divisors, whose sum is σ = 14839754791680. Its totient is φ = 788193607680.

The previous prime is 3514065223553. The next prime is 3514065223771. The reversal of 3514065223680 is 863225604153.

3514065223680 is a `hidden beast` number, since 3 + 5 + 1 + 40 + 6 + 522 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59560427491 + ... + 59560427549.

Almost surely, 2^{3514065223680} is an apocalyptic number.

3514065223680 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 3514065223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419877395840).

3514065223680 is an abundant number, since it is smaller than the sum of its proper divisors (11325689568000).

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

3514065223680 is an frugal number, since it uses more digits than its factorization.

3514065223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 97 counting only the distinct ones).

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

The spelling of 3514065223680 in words is "three trillion, five hundred fourteen billion, sixty-five million, two hundred twenty-three thousand, six hundred eighty".