3904935690240 has 864 divisors, whose sum is σ = 14729802587136. Its totient is φ = 951268147200.

The previous prime is 3904935690199. The next prime is 3904935690241. The reversal of 3904935690240 is 420965394093.

3904935690240 is a `hidden beast` number, since 3 + 9 + 0 + 49 + 356 + 9 + 0 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904935690241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9737994040 + ... + 9737994440.

It is an arithmetic number, because the mean of its divisors is an integer number (17048382624).

Almost surely, 2^{3904935690240} is an apocalyptic number.

3904935690240 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 3904935690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364901293568).

3904935690240 is an abundant number, since it is smaller than the sum of its proper divisors (10824866896896).

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

3904935690240 is a wasteful number, since it uses less digits than its factorization.

3904935690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3904935690240 in words is "three trillion, nine hundred four billion, nine hundred thirty-five million, six hundred ninety thousand, two hundred forty".