38419961856 has 96 divisors (see below), whose sum is σ = 102545941680. Its totient is φ = 12791939072.

The previous prime is 38419961851. The next prime is 38419961861. The reversal of 38419961856 is 65816991483.

It is an interprime number because it is at equal distance from previous prime (38419961851) and next prime (38419961861).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 38419961856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38419961851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220786 + ... + 6226958.

Almost surely, 2^38419961856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38419961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51272970840).

38419961856 is an abundant number, since it is smaller than the sum of its proper divisors (64125979824).

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

38419961856 is a wasteful number, since it uses less digits than its factorization.

38419961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7191 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

It can be divided in two parts, 384 and 19961856, that multiplied together give a square (7665352704 = 87552²).

The spelling of 38419961856 in words is "thirty-eight billion, four hundred nineteen million, nine hundred sixty-one thousand, eight hundred fifty-six".