3850511040 has 224 divisors, whose sum is σ = 13687104960. Its totient is φ = 1018994688.

The previous prime is 3850511039. The next prime is 3850511051. The reversal of 3850511040 is 401150583.

3850511040 is a `hidden beast` number, since 3 + 8 + 505 + 110 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3850510995 and 3850511013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182054 + ... + 1185306.

Almost surely, 2^3850511040 is an apocalyptic number.

3850511040 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 3850511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843552480).

3850511040 is an abundant number, since it is smaller than the sum of its proper divisors (9836593920).

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

3850511040 is a wasteful number, since it uses less digits than its factorization.

3850511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 3850511040 is about 62052.4861709827. The cubic root of 3850511040 is about 1567.3745509824.

The spelling of 3850511040 in words is "three billion, eight hundred fifty million, five hundred eleven thousand, forty".