3977251826940 has 384 divisors, whose sum is σ = 15377873172480. Its totient is φ = 832485371904.

The previous prime is 3977251826927. The next prime is 3977251826941. The reversal of 3977251826940 is 496281527793.

3977251826940 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 2 + 518 + 26 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977251826941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1541227 + ... + 3214013.

It is an arithmetic number, because the mean of its divisors is an integer number (40046544720).

It is a 1-persistent number, because it is pandigital, but 2⋅3977251826940 = 7954503653880 is not.

Almost surely, 2^{3977251826940} is an apocalyptic number.

3977251826940 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 3977251826940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688936586240).

3977251826940 is an abundant number, since it is smaller than the sum of its proper divisors (11400621345540).

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

3977251826940 is a wasteful number, since it uses less digits than its factorization.

3977251826940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672866 (or 1672858 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3977251826940 in words is "three trillion, nine hundred seventy-seven billion, two hundred fifty-one million, eight hundred twenty-six thousand, nine hundred forty".