3827399040 has 640 divisors, whose sum is σ = 14955541920. Its totient is φ = 928972800.

The previous prime is 3827398951. The next prime is 3827399041. The reversal of 3827399040 is 409937283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3827399040² = 29297966822785843200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827399041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37894990 + ... + 37895090.

Almost surely, 2^3827399040 is an apocalyptic number.

3827399040 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 3827399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477770960).

3827399040 is an abundant number, since it is smaller than the sum of its proper divisors (11128142880).

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

3827399040 is a wasteful number, since it uses less digits than its factorization.

3827399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3827399040 is about 61865.9764329312. The cubic root of 3827399040 is about 1564.2322943450.

The spelling of 3827399040 in words is "three billion, eight hundred twenty-seven million, three hundred ninety-nine thousand, forty".