34044410400 has 1152 divisors, whose sum is σ = 153206194176. Its totient is φ = 6336921600.

The previous prime is 34044410399. The next prime is 34044410441. The reversal of 34044410400 is 401444043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88888609 + ... + 88888991.

It is an arithmetic number, because the mean of its divisors is an integer number (132991488).

Almost surely, 2^34044410400 is an apocalyptic number.

34044410400 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 34044410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76603097088).

34044410400 is an abundant number, since it is smaller than the sum of its proper divisors (119161783776).

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

34044410400 is a wasteful number, since it uses less digits than its factorization.

34044410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34044410400 its reverse (401444043), we get a palindrome (34445854443).

It can be divided in two parts, 34044 and 410400, that added together give a palindrome (444444).

The spelling of 34044410400 in words is "thirty-four billion, forty-four million, four hundred ten thousand, four hundred".