3820400640 has 780 divisors, whose sum is σ = 16270078176. Its totient is φ = 854654976.

The previous prime is 3820400621. The next prime is 3820400641. The reversal of 3820400640 is 460040283.

It is a super-2 number, since 2×3820400640² = 29190922100224819200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3820400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81285097 + ... + 81285143.

Almost surely, 2^3820400640 is an apocalyptic number.

3820400640 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 3820400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135039088).

3820400640 is an abundant number, since it is smaller than the sum of its proper divisors (12449677536).

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

3820400640 is an equidigital number, since it uses as much as digits as its factorization.

3820400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

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

The square root of 3820400640 is about 61809.3895779598. The cubic root of 3820400640 is about 1563.2783129568.

The spelling of 3820400640 in words is "three billion, eight hundred twenty million, four hundred thousand, six hundred forty".