34030920992640 has 1024 divisors, whose sum is σ = 136948987284480. Its totient is φ = 7060311244800.

The previous prime is 34030920992633. The next prime is 34030920992647. The reversal of 34030920992640 is 4629902903043.

It is an interprime number because it is at equal distance from previous prime (34030920992633) and next prime (34030920992647).

It is a super-3 number, since 3×34030920992640³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34030920992647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312669430 + ... + 312778250.

It is an arithmetic number, because the mean of its divisors is an integer number (133739245395).

Almost surely, 2^{34030920992640} is an apocalyptic number.

34030920992640 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 34030920992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68474493642240).

34030920992640 is an abundant number, since it is smaller than the sum of its proper divisors (102918066291840).

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

34030920992640 is a wasteful number, since it uses less digits than its factorization.

34030920992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108951 (or 108939 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 34030920992640 in words is "thirty-four trillion, thirty billion, nine hundred twenty million, nine hundred ninety-two thousand, six hundred forty".