3842578003740 has 432 divisors, whose sum is σ = 13314910704480. Its totient is φ = 825423298560.

The previous prime is 3842578003729. The next prime is 3842578003753. The reversal of 3842578003740 is 473008752483.

It is a super-3 number, since 3×3842578003740³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 653385600 + ... + 653391480.

Almost surely, 2^{3842578003740} is an apocalyptic number.

3842578003740 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 3842578003740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657455352240).

3842578003740 is an abundant number, since it is smaller than the sum of its proper divisors (9472332700740).

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

3842578003740 is a wasteful number, since it uses less digits than its factorization.

3842578003740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 3842578003740 in words is "three trillion, eight hundred forty-two billion, five hundred seventy-eight million, three thousand, seven hundred forty".