3806497800 has 576 divisors, whose sum is σ = 15469009920. Its totient is φ = 851938560.

The previous prime is 3806497759. The next prime is 3806497801. The reversal of 3806497800 is 87946083.

3806497800 = 4691² + 4692² + ... + 4857².

It is a happy number.

3806497800 is a `hidden beast` number, since 3 + 80 + 6 + 497 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3806497801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22793317 + ... + 22793483.

It is an arithmetic number, because the mean of its divisors is an integer number (26855920).

Almost surely, 2^3806497800 is an apocalyptic number.

3806497800 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 3806497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

3806497800 is an abundant number, since it is smaller than the sum of its proper divisors (11662512120).

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

3806497800 is a wasteful number, since it uses less digits than its factorization.

3806497800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3806497800 is about 61696.8216361264. The cubic root of 3806497800 is about 1561.3796965676.

The spelling of 3806497800 in words is "three billion, eight hundred six million, four hundred ninety-seven thousand, eight hundred".