3684461348010 has 32 divisors (see below), whose sum is σ = 8849411429760. Its totient is φ = 981778115648.

The previous prime is 3684461348003. The next prime is 3684461348017. The reversal of 3684461348010 is 108431644863.

It is an interprime number because it is at equal distance from previous prime (3684461348003) and next prime (3684461348017).

It is a super-4 number, since 4×3684461348010⁴ (a number of 51 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3684461348017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46516677 + ... + 46595816.

It is an arithmetic number, because the mean of its divisors is an integer number (276544107180).

Almost surely, 2^{3684461348010} is an apocalyptic number.

3684461348010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3684461348010 is an abundant number, since it is smaller than the sum of its proper divisors (5164950081750).

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

3684461348010 is a wasteful number, since it uses less digits than its factorization.

3684461348010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93113822.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 3684461348010 in words is "three trillion, six hundred eighty-four billion, four hundred sixty-one million, three hundred forty-eight thousand, ten".