3400040952 has 288 divisors, whose sum is σ = 11685273600. Its totient is φ = 874177920.

The previous prime is 3400040951. The next prime is 3400040981. The reversal of 3400040952 is 2590400043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400040951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7744749 + ... + 7745187.

Almost surely, 2^3400040952 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 3400040952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842636800).

3400040952 is an abundant number, since it is smaller than the sum of its proper divisors (8285232648).

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

3400040952 is a wasteful number, since it uses less digits than its factorization.

3400040952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3400040952 is about 58309.8701078985. The cubic root of 3400040952 is about 1503.7006333671.

Adding to 3400040952 its reverse (2590400043), we get a palindrome (5990440995).

The spelling of 3400040952 in words is "three billion, four hundred million, forty thousand, nine hundred fifty-two".