34001401120 has 48 divisors (see below), whose sum is σ = 80340148728. Its totient is φ = 13598556160.

The previous prime is 34001401099. The next prime is 34001401141. The reversal of 34001401120 is 2110410043.

It is an interprime number because it is at equal distance from previous prime (34001401099) and next prime (34001401141).

It can be written as a sum of positive squares in 4 ways, for example, as 6695821584 + 27305579536 = 81828^2 + 165244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34001401094 and 34001401103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1579872 + ... + 1601248.

Almost surely, 2^34001401120 is an apocalyptic number.

It is an amenable number.

34001401120 is an abundant number, since it is smaller than the sum of its proper divisors (46338747608).

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

34001401120 is a wasteful number, since it uses less digits than its factorization.

34001401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31333 (or 31325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34001401120 its reverse (2110410043), we get a palindrome (36111811163).

The spelling of 34001401120 in words is "thirty-four billion, one million, four hundred one thousand, one hundred twenty".