3561050400 has 144 divisors (see below), whose sum is σ = 11612631744. Its totient is φ = 947860480.

The previous prime is 3561050399. The next prime is 3561050407. The reversal of 3561050400 is 40501653.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3561050407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782202 + ... + 1784198.

It is an arithmetic number, because the mean of its divisors is an integer number (80643276).

Almost surely, 2^3561050400 is an apocalyptic number.

3561050400 is a gapful number since it is divisible by the number (30) 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 3561050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806315872).

3561050400 is an abundant number, since it is smaller than the sum of its proper divisors (8051581344).

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

3561050400 is a wasteful number, since it uses less digits than its factorization.

3561050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3561050400 is about 59674.5372835014. The cubic root of 3561050400 is about 1527.0715053903.

The spelling of 3561050400 in words is "three billion, five hundred sixty-one million, fifty thousand, four hundred".