1036401600 has 336 divisors, whose sum is σ = 3881189088. Its totient is φ = 239861760.

The previous prime is 1036401593. The next prime is 1036401629. The reversal of 1036401600 is 61046301.

It is a super-3 number, since 3×1036401600³ (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, 1060312 + ... + 1061288.

It is an arithmetic number, because the mean of its divisors is an integer number (11551158).

Almost surely, 2^1036401600 is an apocalyptic number.

1036401600 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 1036401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940594544).

1036401600 is an abundant number, since it is smaller than the sum of its proper divisors (2844787488).

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

1036401600 is a wasteful number, since it uses less digits than its factorization.

1036401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1036401600 is about 32193.1918268444. The cubic root of 1036401600 is about 1011.9895430291.

Adding to 1036401600 its reverse (61046301), we get a palindrome (1097447901).

The spelling of 1036401600 in words is "one billion, thirty-six million, four hundred one thousand, six hundred".