3835614638340 has 72 divisors (see below), whose sum is σ = 12065612482560. Its totient is φ = 1022830568928.

The previous prime is 3835614638309. The next prime is 3835614638419. The reversal of 3835614638340 is 438364165383.

3835614638340 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 61 + 463 + 83 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394605700 + ... + 394615419.

Almost surely, 2^{3835614638340} is an apocalyptic number.

3835614638340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3835614638340 is an abundant number, since it is smaller than the sum of its proper divisors (8229997844220).

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

3835614638340 is a wasteful number, since it uses less digits than its factorization.

3835614638340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789221143 (or 789221129 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3835614638340 in words is "three trillion, eight hundred thirty-five billion, six hundred fourteen million, six hundred thirty-eight thousand, three hundred forty".