3406502400 has 960 divisors, whose sum is σ = 14613350400. Its totient is φ = 681246720.

The previous prime is 3406502399. The next prime is 3406502401. The reversal of 3406502400 is 42056043.

It is an interprime number because it is at equal distance from previous prime (3406502399) and next prime (3406502401).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (3406502401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117465586 + ... + 117465614.

It is an arithmetic number, because the mean of its divisors is an integer number (15222240).

Almost surely, 2^3406502400 is an apocalyptic number.

3406502400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306675200).

3406502400 is an abundant number, since it is smaller than the sum of its proper divisors (11206848000).

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

3406502400 is a wasteful number, since it uses less digits than its factorization.

3406502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3406502400 is about 58365.2499352140. The cubic root of 3406502400 is about 1504.6525763243.

Adding to 3406502400 its reverse (42056043), we get a palindrome (3448558443).

The spelling of 3406502400 in words is "three billion, four hundred six million, five hundred two thousand, four hundred".