3402532100 has 216 divisors, whose sum is σ = 8600116224. Its totient is φ = 1165824000.

The previous prime is 3402532073. The next prime is 3402532109. The reversal of 3402532100 is 12352043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3402532109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17629604 + ... + 17629796.

Almost surely, 2^3402532100 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 3402532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300058112).

3402532100 is an abundant number, since it is smaller than the sum of its proper divisors (5197584124).

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

3402532100 is a wasteful number, since it uses less digits than its factorization.

3402532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3402532100 is about 58331.2274857987. The cubic root of 3402532100 is about 1504.0677883896.

Adding to 3402532100 its reverse (12352043), we get a palindrome (3414884143).

The spelling of 3402532100 in words is "three billion, four hundred two million, five hundred thirty-two thousand, one hundred".