3915948291840 has 2880 divisors, whose sum is σ = 17052297292800. Its totient is φ = 848497213440.

The previous prime is 3915948291799. The next prime is 3915948291847. The reversal of 3915948291840 is 481928495193.

3915948291840 is a `hidden beast` number, since 3 + 9 + 1 + 594 + 8 + 29 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3915948291840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915948291847) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26281532086 + ... + 26281532234.

It is an arithmetic number, because the mean of its divisors is an integer number (5920936560).

Almost surely, 2^{3915948291840} is an apocalyptic number.

3915948291840 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 3915948291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526148646400).

3915948291840 is an abundant number, since it is smaller than the sum of its proper divisors (13136349000960).

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

3915948291840 is a wasteful number, since it uses less digits than its factorization.

3915948291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 3915948291840 in words is "three trillion, nine hundred fifteen billion, nine hundred forty-eight million, two hundred ninety-one thousand, eight hundred forty".