34968491929440 has 384 divisors, whose sum is σ = 123903335162880. Its totient is φ = 9209679261696.

The previous prime is 34968491929433. The next prime is 34968491929453. The reversal of 34968491929440 is 4492919486943.

34968491929440 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 4 + 91 + 92 + 9 + 440 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288292509 + ... + 1288319651.

It is an arithmetic number, because the mean of its divisors is an integer number (322664935320).

Almost surely, 2^{34968491929440} is an apocalyptic number.

34968491929440 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 34968491929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61951667581440).

34968491929440 is an abundant number, since it is smaller than the sum of its proper divisors (88934843233440).

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

34968491929440 is a wasteful number, since it uses less digits than its factorization.

34968491929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30843 (or 30829 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 34968491929440 in words is "thirty-four trillion, nine hundred sixty-eight billion, four hundred ninety-one million, nine hundred twenty-nine thousand, four hundred forty".