3362840100 has 81 divisors (see below), whose sum is σ = 10546091283. Its totient is φ = 896293440.

The previous prime is 3362840017. The next prime is 3362840101. The reversal of 3362840100 is 10482633.

It is a happy number.

The square root of 3362840100 is 57990.

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

3362840100 is a `hidden beast` number, since 33 + 628 + 4 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 3356580096 = 2502^2 + 57936^2 .

It is a super-2 number, since 2×3362840100² = 22617387076336020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3362840101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1738734 + ... + 1740666.

Almost surely, 2^3362840100 is an apocalyptic number.

3362840100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3362840100 is the 57990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362840100

3362840100 is an abundant number, since it is smaller than the sum of its proper divisors (7183251183).

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

3362840100 is a wasteful number, since it uses less digits than its factorization.

3362840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 3362840100 is about 1498.1963654709.

The spelling of 3362840100 in words is "three billion, three hundred sixty-two million, eight hundred forty thousand, one hundred".