3434100040 has 64 divisors (see below), whose sum is σ = 8838696960. Its totient is φ = 1176318720.

The previous prime is 3434099987. The next prime is 3434100041. The reversal of 3434100040 is 400014343.

It is a junction number, because it is equal to n+sod(n) for n = 3434099990 and 3434100017.

It is not an unprimeable number, because it can be changed into a prime (3434100041) 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 15 ways as a sum of consecutive naturals, for example, 334585 + ... + 344695.

It is an arithmetic number, because the mean of its divisors is an integer number (138104640).

Almost surely, 2^3434100040 is an apocalyptic number.

It is an amenable number.

3434100040 is an abundant number, since it is smaller than the sum of its proper divisors (5404596920).

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

3434100040 is a wasteful number, since it uses less digits than its factorization.

3434100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3434100040 is about 58601.1948683642. The cubic root of 3434100040 is about 1508.7049463648.

Adding to 3434100040 its reverse (400014343), we get a palindrome (3834114383).

The spelling of 3434100040 in words is "three billion, four hundred thirty-four million, one hundred thousand, forty".