3414244697640 has 512 divisors, whose sum is σ = 13668880896000. Its totient is φ = 741646015488.

The previous prime is 3414244697627. The next prime is 3414244697641. The reversal of 3414244697640 is 467964424143.

3414244697640 is a `hidden beast` number, since 34 + 1 + 42 + 4 + 469 + 76 + 40 = 666.

3414244697640 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 (54).

It is not an unprimeable number, because it can be changed into a prime (3414244697641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11886031 + ... + 12169889.

It is an arithmetic number, because the mean of its divisors is an integer number (26697033000).

Almost surely, 2^{3414244697640} is an apocalyptic number.

3414244697640 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 3414244697640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834440448000).

3414244697640 is an abundant number, since it is smaller than the sum of its proper divisors (10254636198360).

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

3414244697640 is a wasteful number, since it uses less digits than its factorization.

3414244697640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283966 (or 283956 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3414244697640 in words is "three trillion, four hundred fourteen billion, two hundred forty-four million, six hundred ninety-seven thousand, six hundred forty".