34003132400 has 120 divisors (see below), whose sum is σ = 83693167104. Its totient is φ = 13271731200.

The previous prime is 34003132381. The next prime is 34003132421. The reversal of 34003132400 is 423130043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093314 + ... + 3104286.

Almost surely, 2^34003132400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34003132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41846583552).

34003132400 is an abundant number, since it is smaller than the sum of its proper divisors (49690034704).

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

34003132400 is a wasteful number, since it uses less digits than its factorization.

34003132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34003132400 its reverse (423130043), we get a palindrome (34426262443).

The spelling of 34003132400 in words is "thirty-four billion, three million, one hundred thirty-two thousand, four hundred".