34194231540 has 576 divisors, whose sum is σ = 129689683200. Its totient is φ = 7449781248.

The previous prime is 34194231529. The next prime is 34194231559. The reversal of 34194231540 is 4513249143.

34194231540 is a `hidden beast` number, since 3 + 4 + 1 + 94 + 23 + 1 + 540 = 666.

It is a super-2 number, since 2×34194231540² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34194231495 and 34194231504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51887731 + ... + 51888389.

It is an arithmetic number, because the mean of its divisors is an integer number (225155700).

Almost surely, 2^34194231540 is an apocalyptic number.

34194231540 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 34194231540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64844841600).

34194231540 is an abundant number, since it is smaller than the sum of its proper divisors (95495451660).

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

34194231540 is a wasteful number, since it uses less digits than its factorization.

34194231540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34194231540 in words is "thirty-four billion, one hundred ninety-four million, two hundred thirty-one thousand, five hundred forty".