3424936900 has 288 divisors, whose sum is σ = 9827371008. Its totient is φ = 1004467200.

The previous prime is 3424936883. The next prime is 3424936901. The reversal of 3424936900 is 96394243.

It is a super-2 number, since 2×3424936900² = 23460385537963220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3424936901) 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 95 ways as a sum of consecutive naturals, for example, 14699184 + ... + 14699416.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^3424936900 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 3424936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

3424936900 is an abundant number, since it is smaller than the sum of its proper divisors (6402434108).

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

3424936900 is a wasteful number, since it uses less digits than its factorization.

3424936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 3424936900 is about 58522.9604514331. The cubic root of 3424936900 is about 1507.3618687417.

The spelling of 3424936900 in words is "three billion, four hundred twenty-four million, nine hundred thirty-six thousand, nine hundred".