3812400095040 has 896 divisors, whose sum is σ = 14527679961600. Its totient is φ = 949447360512.

The previous prime is 3812400095003. The next prime is 3812400095051. The reversal of 3812400095040 is 405900042183.

3812400095040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3812400095040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3812400094986 and 3812400095004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1629926191 + ... + 1629928529.

Almost surely, 2^{3812400095040} is an apocalyptic number.

3812400095040 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 3812400095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263839980800).

3812400095040 is an abundant number, since it is smaller than the sum of its proper divisors (10715279866560).

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

3812400095040 is a wasteful number, since it uses less digits than its factorization.

3812400095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3812400095040 in words is "three trillion, eight hundred twelve billion, four hundred million, ninety-five thousand, forty".