34364203920 has 360 divisors, whose sum is σ = 123285502080. Its totient is φ = 8576225280.

The previous prime is 34364203901. The next prime is 34364203927. The reversal of 34364203920 is 2930246343.

34364203920 is a `hidden beast` number, since 3 + 4 + 3 + 642 + 0 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×34364203920² (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 not an unprimeable number, because it can be changed into a prime (34364203927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49730775 + ... + 49731465.

It is an arithmetic number, because the mean of its divisors is an integer number (342459728).

Almost surely, 2^34364203920 is an apocalyptic number.

34364203920 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 34364203920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61642751040).

34364203920 is an abundant number, since it is smaller than the sum of its proper divisors (88921298160).

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

34364203920 is a wasteful number, since it uses less digits than its factorization.

34364203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34364203920 in words is "thirty-four billion, three hundred sixty-four million, two hundred three thousand, nine hundred twenty".