1036340400 has 240 divisors, whose sum is σ = 3612652704. Its totient is φ = 252887040.

The previous prime is 1036340399. The next prime is 1036340413. The reversal of 1036340400 is 40436301.

1036340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1036340400³ (a number of 28 digits) contains 333 as substring.

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, 754114 + ... + 755486.

Almost surely, 2^1036340400 is an apocalyptic number.

1036340400 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 1036340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806326352).

1036340400 is an abundant number, since it is smaller than the sum of its proper divisors (2576312304).

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

1036340400 is a wasteful number, since it uses less digits than its factorization.

1036340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1036340400 is about 32192.2413012825. The cubic root of 1036340400 is about 1011.9696231515.

Adding to 1036340400 its reverse (40436301), we get a palindrome (1076776701).

The spelling of 1036340400 in words is "one billion, thirty-six million, three hundred forty thousand, four hundred".