3835016438400 has 864 divisors, whose sum is σ = 16288827984000. Its totient is φ = 856176168960.

The previous prime is 3835016438387. The next prime is 3835016438419. The reversal of 3835016438400 is 48346105383.

3835016438400 is a `hidden beast` number, since 3 + 8 + 3 + 50 + 164 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60650001 + ... + 60713199.

Almost surely, 2^{3835016438400} is an apocalyptic number.

3835016438400 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 3835016438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144413992000).

3835016438400 is an abundant number, since it is smaller than the sum of its proper divisors (12453811545600).

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

3835016438400 is a wasteful number, since it uses less digits than its factorization.

3835016438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63286 (or 63259 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3835016438400 in words is "three trillion, eight hundred thirty-five billion, sixteen million, four hundred thirty-eight thousand, four hundred".