3842640000 has 400 divisors, whose sum is σ = 14314066470. Its totient is φ = 1022976000.

The previous prime is 3842639987. The next prime is 3842640001. The reversal of 3842640000 is 462483.

It can be written as a sum of positive squares in 5 ways, for example, as 106007616 + 3736632384 = 10296^2 + 61128^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842640001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479704 + ... + 6480296.

Almost surely, 2^3842640000 is an apocalyptic number.

3842640000 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 3842640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157033235).

3842640000 is an abundant number, since it is smaller than the sum of its proper divisors (10471426470).

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

3842640000 is an frugal number, since it uses more digits than its factorization.

3842640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3842640000 is about 61989.0312878012. The cubic root of 3842640000 is about 1566.3058371266.

The spelling of 3842640000 in words is "three billion, eight hundred forty-two million, six hundred forty thousand".