3814179840 has 440 divisors, whose sum is σ = 14498606232. Its totient is φ = 955514880.

The previous prime is 3814179797. The next prime is 3814179841. The reversal of 3814179840 is 489714183.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 627803136 + 3186376704 = 25056^2 + 56448^2 .

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 (3814179841) 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 39 ways as a sum of consecutive naturals, for example, 7049970 + ... + 7050510.

Almost surely, 2^3814179840 is an apocalyptic number.

3814179840 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 3814179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249303116).

3814179840 is an abundant number, since it is smaller than the sum of its proper divisors (10684426392).

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

3814179840 is a wasteful number, since it uses less digits than its factorization.

3814179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3814179840 is about 61759.0466247658. The cubic root of 3814179840 is about 1562.4293509603.

The spelling of 3814179840 in words is "three billion, eight hundred fourteen million, one hundred seventy-nine thousand, eight hundred forty".