3830077440 has 384 divisors, whose sum is σ = 15567552000. Its totient is φ = 875003904.

The previous prime is 3830077429. The next prime is 3830077451. The reversal of 3830077440 is 447700383.

It is an interprime number because it is at equal distance from previous prime (3830077429) and next prime (3830077451).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3830077395 and 3830077404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934371 + ... + 1936349.

It is an arithmetic number, because the mean of its divisors is an integer number (40540500).

Almost surely, 2^3830077440 is an apocalyptic number.

3830077440 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 3830077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776000).

3830077440 is an abundant number, since it is smaller than the sum of its proper divisors (11737474560).

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

3830077440 is a wasteful number, since it uses less digits than its factorization.

3830077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3830077440 is about 61887.6194404018. The cubic root of 3830077440 is about 1564.5970906304.

The spelling of 3830077440 in words is "three billion, eight hundred thirty million, seventy-seven thousand, four hundred forty".