3945554540928 has 3840 divisors, whose sum is σ = 17869873190400. Its totient is φ = 835597762560.

The previous prime is 3945554540897. The next prime is 3945554540957. The reversal of 3945554540928 is 8290454555493.

3945554540928 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 554 + 54 + 0 + 9 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36874341451 + ... + 36874341557.

It is an arithmetic number, because the mean of its divisors is an integer number (4653612810).

Almost surely, 2^{3945554540928} is an apocalyptic number.

3945554540928 is a gapful number since it is divisible by the number (38) 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 3945554540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934936595200).

3945554540928 is an abundant number, since it is smaller than the sum of its proper divisors (13924318649472).

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

3945554540928 is a wasteful number, since it uses less digits than its factorization.

3945554540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 3945554540928 in words is "three trillion, nine hundred forty-five billion, five hundred fifty-four million, five hundred forty thousand, nine hundred twenty-eight".