34146819000 has 1024 divisors, whose sum is σ = 146824704000. Its totient is φ = 7166361600.

The previous prime is 34146818977. The next prime is 34146819013. The reversal of 34146819000 is 91864143.

34146819000 is a `hidden beast` number, since 3 + 4 + 1 + 468 + 190 + 0 + 0 = 666.

It is a super-2 number, since 2×34146819000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 132866872 + ... + 132867128.

It is an arithmetic number, because the mean of its divisors is an integer number (143383500).

Almost surely, 2^34146819000 is an apocalyptic number.

34146819000 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 34146819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73412352000).

34146819000 is an abundant number, since it is smaller than the sum of its proper divisors (112677885000).

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

34146819000 is a wasteful number, since it uses less digits than its factorization.

34146819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34146819000 in words is "thirty-four billion, one hundred forty-six million, eight hundred nineteen thousand".