34002020032440 has 64 divisors (see below), whose sum is σ = 102366505641600. Its totient is φ = 9035165738112.

The previous prime is 34002020032391. The next prime is 34002020032441. The reversal of 34002020032440 is 4423002020043.

It is a super-2 number, since 2×34002020032440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34002020032440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002020032441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500584710 + ... + 500652629.

It is an arithmetic number, because the mean of its divisors is an integer number (1599476650650).

Almost surely, 2^{34002020032440} is an apocalyptic number.

34002020032440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34002020032440 is an abundant number, since it is smaller than the sum of its proper divisors (68364485609160).

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

34002020032440 is a wasteful number, since it uses less digits than its factorization.

34002020032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001237636 (or 1001237632 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34002020032440 its reverse (4423002020043), we get a palindrome (38425022052483).

The spelling of 34002020032440 in words is "thirty-four trillion, two billion, twenty million, thirty-two thousand, four hundred forty".