3533760828900 has 135 divisors (see below), whose sum is σ = 11455605009849. Its totient is φ = 942291105120.

The previous prime is 3533760828889. The next prime is 3533760828919. The reversal of 3533760828900 is 98280673353.

The square root of 3533760828900 is 1879830.

It is a perfect power (a square), and thus also a powerful number.

3533760828900 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 7 + 608 + 28 + 9 + 0 + 0 = 666.

3533760828900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1272153898404 + 2261606930496 = 1127898^2 + 1503864^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169174257 + ... + 169195143.

Almost surely, 2^{3533760828900} is an apocalyptic number.

3533760828900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3533760828900 is the 1879830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3533760828900

3533760828900 is an abundant number, since it is smaller than the sum of its proper divisors (7921844180949).

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

3533760828900 is an frugal number, since it uses more digits than its factorization.

3533760828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41800 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3533760828900 in words is "three trillion, five hundred thirty-three billion, seven hundred sixty million, eight hundred twenty-eight thousand, nine hundred".