38154240000 has 800 divisors, whose sum is σ = 148634952840. Its totient is φ = 9732096000.

The previous prime is 38154239987. The next prime is 38154240031. The reversal of 38154240000 is 4245183.

38154240000 is a `hidden beast` number, since 3 + 81 + 542 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1658879989 + ... + 1658880011.

Almost surely, 2^38154240000 is an apocalyptic number.

38154240000 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 38154240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74317476420).

38154240000 is an abundant number, since it is smaller than the sum of its proper divisors (110480712840).

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

38154240000 is an frugal number, since it uses more digits than its factorization.

38154240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 38154240000 its reverse (4245183), we get a palindrome (38158485183).

The spelling of 38154240000 in words is "thirty-eight billion, one hundred fifty-four million, two hundred forty thousand".