3405400152 has 256 divisors, whose sum is σ = 11429268480. Its totient is φ = 818380800.

The previous prime is 3405400129. The next prime is 3405400157. The reversal of 3405400152 is 2510045043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405400157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915488 + ... + 1917264.

It is an arithmetic number, because the mean of its divisors is an integer number (44645580).

Almost surely, 2^3405400152 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 3405400152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

3405400152 is an abundant number, since it is smaller than the sum of its proper divisors (8023868328).

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

3405400152 is a wasteful number, since it uses less digits than its factorization.

3405400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3405400152 is about 58355.8064977257. The cubic root of 3405400152 is about 1504.4902711198.

Adding to 3405400152 its reverse (2510045043), we get a palindrome (5915445195).

The spelling of 3405400152 in words is "three billion, four hundred five million, four hundred thousand, one hundred fifty-two".