3512409941376 has 1280 divisors, whose sum is σ = 13012298956800. Its totient is φ = 918533468160.

The previous prime is 3512409941357. The next prime is 3512409941389. The reversal of 3512409941376 is 6731499042153.

3512409941376 is a `hidden beast` number, since 3 + 5 + 12 + 409 + 94 + 137 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5329908535 + ... + 5329909193.

It is an arithmetic number, because the mean of its divisors is an integer number (10165858560).

Almost surely, 2^{3512409941376} is an apocalyptic number.

3512409941376 is a gapful number since it is divisible by the number (36) 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 3512409941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506149478400).

3512409941376 is an abundant number, since it is smaller than the sum of its proper divisors (9499889015424).

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

3512409941376 is a wasteful number, since it uses less digits than its factorization.

3512409941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3512409941376 in words is "three trillion, five hundred twelve billion, four hundred nine million, nine hundred forty-one thousand, three hundred seventy-six".