1915400034 has 80 divisors (see below), whose sum is σ = 4416461280. Its totient is φ = 620084160.

The previous prime is 1915400027. The next prime is 1915400063. The reversal of 1915400034 is 4300045191.

1915400034 is a `hidden beast` number, since 1 + 91 + 540 + 0 + 0 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1915399980 and 1915400007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1879177 + ... + 1880195.

It is an arithmetic number, because the mean of its divisors is an integer number (55205766).

Almost surely, 2^1915400034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1915400034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208230640).

1915400034 is an abundant number, since it is smaller than the sum of its proper divisors (2501061246).

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

1915400034 is a wasteful number, since it uses less digits than its factorization.

1915400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1915400034 is about 43765.2834333333. The cubic root of 1915400034 is about 1241.8996278195.

The spelling of 1915400034 in words is "one billion, nine hundred fifteen million, four hundred thousand, thirty-four".