34100253390 has 128 divisors (see below), whose sum is σ = 96594720768. Its totient is φ = 7541475840.

The previous prime is 34100253361. The next prime is 34100253391. The reversal of 34100253390 is 9335200143.

It is a super-3 number, since 3×34100253390³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100253391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1394247 + ... + 1418493.

It is an arithmetic number, because the mean of its divisors is an integer number (754646256).

Almost surely, 2^34100253390 is an apocalyptic number.

34100253390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100253390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297360384).

34100253390 is an abundant number, since it is smaller than the sum of its proper divisors (62494467378).

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

34100253390 is a wasteful number, since it uses less digits than its factorization.

34100253390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24482.

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 34100253390 in words is "thirty-four billion, one hundred million, two hundred fifty-three thousand, three hundred ninety".