34220820902400 has 1200 divisors, whose sum is σ = 140512341768480. Its totient is φ = 8155186790400.

The previous prime is 34220820902383. The next prime is 34220820902413. The reversal of 34220820902400 is 420902802243.

34220820902400 is a `hidden beast` number, since 3 + 4 + 2 + 208 + 209 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×34220820902400³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 672857772 + ... + 672908628.

Almost surely, 2^{34220820902400} is an apocalyptic number.

34220820902400 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 34220820902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70256170884240).

34220820902400 is an abundant number, since it is smaller than the sum of its proper divisors (106291520866080).

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

34220820902400 is a wasteful number, since it uses less digits than its factorization.

34220820902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50967 (or 50937 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34220820902400 in words is "thirty-four trillion, two hundred twenty billion, eight hundred twenty million, nine hundred two thousand, four hundred".