1034328400 has 120 divisors (see below), whose sum is σ = 2963631744. Its totient is φ = 339187200.

The previous prime is 1034328371. The next prime is 1034328419. The reversal of 1034328400 is 48234301.

1034328400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 56370 + ... + 72430.

Almost surely, 2^1034328400 is an apocalyptic number.

1034328400 is a gapful number since it is divisible by the number (10) 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 1034328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481815872).

1034328400 is an abundant number, since it is smaller than the sum of its proper divisors (1929303344).

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

1034328400 is a wasteful number, since it uses less digits than its factorization.

1034328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1034328400 is about 32160.9763533385. The cubic root of 1034328400 is about 1011.3143037365.

The spelling of 1034328400 in words is "one billion, thirty-four million, three hundred twenty-eight thousand, four hundred".