3819947040 has 960 divisors, whose sum is σ = 17212124160. Its totient is φ = 776355840.

The previous prime is 3819947029. The next prime is 3819947051. The reversal of 3819947040 is 407499183.

It is an interprime number because it is at equal distance from previous prime (3819947029) and next prime (3819947051).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48353721 + ... + 48353799.

It is an arithmetic number, because the mean of its divisors is an integer number (17929296).

Almost surely, 2^3819947040 is an apocalyptic number.

3819947040 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 3819947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606062080).

3819947040 is an abundant number, since it is smaller than the sum of its proper divisors (13392177120).

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

3819947040 is a wasteful number, since it uses less digits than its factorization.

3819947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3819947040 is about 61805.7201236261. The cubic root of 3819947040 is about 1563.2164406407.

The spelling of 3819947040 in words is "three billion, eight hundred nineteen million, nine hundred forty-seven thousand, forty".