3877072401460 has 192 divisors, whose sum is σ = 8730652170240. Its totient is φ = 1443536640000.

The previous prime is 3877072401451. The next prime is 3877072401467. The reversal of 3877072401460 is 641042707783.

It is a happy number.

3877072401460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3877072401460² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877072401467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2713136026 + ... + 2713137454.

It is an arithmetic number, because the mean of its divisors is an integer number (45472146720).

Almost surely, 2^{3877072401460} 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 3877072401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365326085120).

3877072401460 is an abundant number, since it is smaller than the sum of its proper divisors (4853579768780).

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

3877072401460 is a wasteful number, since it uses less digits than its factorization.

3877072401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 3877072401460 in words is "three trillion, eight hundred seventy-seven billion, seventy-two million, four hundred one thousand, four hundred sixty".