34211895990 has 128 divisors (see below), whose sum is σ = 89028605952. Its totient is φ = 8382474240.

The previous prime is 34211895983. The next prime is 34211896003. The reversal of 34211895990 is 9959811243.

It is a super-3 number, since 3×34211895990³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3725044 + ... + 3734216.

It is an arithmetic number, because the mean of its divisors is an integer number (695535984).

Almost surely, 2^34211895990 is an apocalyptic number.

34211895990 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 34211895990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44514302976).

34211895990 is an abundant number, since it is smaller than the sum of its proper divisors (54816709962).

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

34211895990 is a wasteful number, since it uses less digits than its factorization.

34211895990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374.

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 34211895990 in words is "thirty-four billion, two hundred eleven million, eight hundred ninety-five thousand, nine hundred ninety".