1034380800 has 480 divisors, whose sum is σ = 3942560160. Its totient is φ = 265420800.

The previous prime is 1034380757. The next prime is 1034380811. The reversal of 1034380800 is 80834301.

1034380800 = 448² + 449² + ... + 1472².

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14169564 + ... + 14169636.

It is an arithmetic number, because the mean of its divisors is an integer number (8213667).

Almost surely, 2^1034380800 is an apocalyptic number.

1034380800 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 1034380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971280080).

1034380800 is an abundant number, since it is smaller than the sum of its proper divisors (2908179360).

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

1034380800 is an equidigital number, since it uses as much as digits as its factorization.

1034380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1034380800 is about 32161.7909949057. The cubic root of 1034380800 is about 1011.3313814766.

The spelling of 1034380800 in words is "one billion, thirty-four million, three hundred eighty thousand, eight hundred".