1003745600 has 336 divisors, whose sum is σ = 3000182976. Its totient is φ = 325632000.

The previous prime is 1003745591. The next prime is 1003745653. The reversal of 1003745600 is 65473001.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1003745600.

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, 9380747 + ... + 9380853.

It is an arithmetic number, because the mean of its divisors is an integer number (8929116).

Almost surely, 2^1003745600 is an apocalyptic number.

1003745600 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 1003745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500091488).

1003745600 is an abundant number, since it is smaller than the sum of its proper divisors (1996437376).

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

1003745600 is a wasteful number, since it uses less digits than its factorization.

1003745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1003745600 is about 31681.9443847754. The cubic root of 1003745600 is about 1001.2469777335.

The spelling of 1003745600 in words is "one billion, three million, seven hundred forty-five thousand, six hundred".