3837461994432 has 448 divisors, whose sum is σ = 13039259143680. Its totient is φ = 1093765939200.

The previous prime is 3837461994389. The next prime is 3837461994481. The reversal of 3837461994432 is 2344991647383.

It is a happy number.

3837461994432 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 4 + 6 + 199 + 4 + 432 = 666.

It is a super-2 number, since 2×3837461994432² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3837461994432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717682383 + ... + 717687729.

It is an arithmetic number, because the mean of its divisors is an integer number (29105489160).

Almost surely, 2^{3837461994432} is an apocalyptic number.

3837461994432 is a gapful number since it is divisible by the number (32) 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 3837461994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519629571840).

3837461994432 is an abundant number, since it is smaller than the sum of its proper divisors (9201797149248).

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

3837461994432 is a wasteful number, since it uses less digits than its factorization.

3837461994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7601 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 3837461994432 in words is "three trillion, eight hundred thirty-seven billion, four hundred sixty-one million, nine hundred ninety-four thousand, four hundred thirty-two".