34042100400 has 720 divisors, whose sum is σ = 148208156928. Its totient is φ = 7029504000.

The previous prime is 34042100363. The next prime is 34042100447. The reversal of 34042100400 is 400124043.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62924130 + ... + 62924670.

Almost surely, 2^34042100400 is an apocalyptic number.

34042100400 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 34042100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74104078464).

34042100400 is an abundant number, since it is smaller than the sum of its proper divisors (114166056528).

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

34042100400 is a wasteful number, since it uses less digits than its factorization.

34042100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34042100400 its reverse (400124043), we get a palindrome (34442224443).

The spelling of 34042100400 in words is "thirty-four billion, forty-two million, one hundred thousand, four hundred".