1036162400 has 288 divisors, whose sum is σ = 3195295488. Its totient is φ = 319334400.

The previous prime is 1036162363. The next prime is 1036162411. The reversal of 1036162400 is 42616301.

It is a happy number.

It is a super-3 number, since 3×1036162400³ (a number of 28 digits) contains 333 as substring.

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, 3130235 + ... + 3130565.

It is an arithmetic number, because the mean of its divisors is an integer number (11094776).

Almost surely, 2^1036162400 is an apocalyptic number.

1036162400 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 1036162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597647744).

1036162400 is an abundant number, since it is smaller than the sum of its proper divisors (2159133088).

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

1036162400 is a wasteful number, since it uses less digits than its factorization.

1036162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1036162400 is about 32189.4765412549. The cubic root of 1036162400 is about 1011.9116817946.

Adding to 1036162400 its reverse (42616301), we get a palindrome (1078778701).

The spelling of 1036162400 in words is "one billion, thirty-six million, one hundred sixty-two thousand, four hundred".