3906497400 has 192 divisors, whose sum is σ = 13124160000. Its totient is φ = 955522560.

The previous prime is 3906497389. The next prime is 3906497429. The reversal of 3906497400 is 47946093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301101 + ... + 1304099.

It is an arithmetic number, because the mean of its divisors is an integer number (68355000).

Almost surely, 2^3906497400 is an apocalyptic number.

3906497400 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 3906497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080000).

3906497400 is an abundant number, since it is smaller than the sum of its proper divisors (9217662600).

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

3906497400 is a wasteful number, since it uses less digits than its factorization.

3906497400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3906497400 is about 62501.9791686631. The cubic root of 3906497400 is about 1574.9345601433.

The spelling of 3906497400 in words is "three billion, nine hundred six million, four hundred ninety-seven thousand, four hundred".