3850435491840 has 1440 divisors, whose sum is σ = 16166416266000. Its totient is φ = 873977610240.

The previous prime is 3850435491823. The next prime is 3850435491869. The reversal of 3850435491840 is 481945340583.

It is a happy number.

3850435491840 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 43 + 549 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3850435491840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8575579936 + ... + 8575580384.

Almost surely, 2^{3850435491840} is an apocalyptic number.

3850435491840 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 3850435491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083208133000).

3850435491840 is an abundant number, since it is smaller than the sum of its proper divisors (12315980774160).

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

3850435491840 is a wasteful number, since it uses less digits than its factorization.

3850435491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3850435491840 in words is "three trillion, eight hundred fifty billion, four hundred thirty-five million, four hundred ninety-one thousand, eight hundred forty".