3427163237400 has 384 divisors, whose sum is σ = 12194219520000. Its totient is φ = 779987520000.

The previous prime is 3427163237369. The next prime is 3427163237411. The reversal of 3427163237400 is 47323617243.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1054185775 + ... + 1054189025.

It is an arithmetic number, because the mean of its divisors is an integer number (31755780000).

Almost surely, 2^{3427163237400} is an apocalyptic number.

3427163237400 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 3427163237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097109760000).

3427163237400 is an abundant number, since it is smaller than the sum of its proper divisors (8767056282600).

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

3427163237400 is a wasteful number, since it uses less digits than its factorization.

3427163237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 3427163237400 in words is "three trillion, four hundred twenty-seven billion, one hundred sixty-three million, two hundred thirty-seven thousand, four hundred".