3445552400 has 60 divisors (see below), whose sum is σ = 8298969204. Its totient is φ = 1374720000.

The previous prime is 3445552393. The next prime is 3445552403. The reversal of 3445552400 is 42555443.

It can be written as a sum of positive squares in 6 ways, for example, as 335036416 + 3110515984 = 18304^2 + 55772^2 .

It is a super-2 number, since 2×3445552400² = 23743662682291520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3445552403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149660 + ... + 171140.

Almost surely, 2^3445552400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149484602).

3445552400 is an abundant number, since it is smaller than the sum of its proper divisors (4853416804).

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

3445552400 is a wasteful number, since it uses less digits than its factorization.

3445552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 3445552400 is about 58698.8279269697. The cubic root of 3445552400 is about 1510.3802092149.

The spelling of 3445552400 in words is "three billion, four hundred forty-five million, five hundred fifty-two thousand, four hundred".