3813760464150 has 192 divisors, whose sum is σ = 11646035606016. Its totient is φ = 804297600000.

The previous prime is 3813760464121. The next prime is 3813760464179. The reversal of 3813760464150 is 514640673183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3813760464121) and next prime (3813760464179).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3813760464150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30664090 + ... + 30788210.

It is an arithmetic number, because the mean of its divisors is an integer number (60656435448).

Almost surely, 2^{3813760464150} is an apocalyptic number.

3813760464150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813760464150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823017803008).

3813760464150 is an abundant number, since it is smaller than the sum of its proper divisors (7832275141866).

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

3813760464150 is a wasteful number, since it uses less digits than its factorization.

3813760464150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126407 (or 126402 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3813760464150 in words is "three trillion, eight hundred thirteen billion, seven hundred sixty million, four hundred sixty-four thousand, one hundred fifty".