3533774400 has 504 divisors, whose sum is σ = 13872098240. Its totient is φ = 847687680.

The previous prime is 3533774393. The next prime is 3533774401. The reversal of 3533774400 is 44773353.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533774401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8049381 + ... + 8049819.

Almost surely, 2^3533774400 is an apocalyptic number.

3533774400 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 3533774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936049120).

3533774400 is an abundant number, since it is smaller than the sum of its proper divisors (10338323840).

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

3533774400 is a wasteful number, since it uses less digits than its factorization.

3533774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3533774400 is about 59445.5582865533. The cubic root of 3533774400 is about 1523.1626209697.

The spelling of 3533774400 in words is "three billion, five hundred thirty-three million, seven hundred seventy-four thousand, four hundred".