3551954400 has 432 divisors, whose sum is σ = 13271338080. Its totient is φ = 892108800.

The previous prime is 3551954389. The next prime is 3551954401. The reversal of 3551954400 is 44591553.

3551954400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (3551954401) 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, 14738280 + ... + 14738520.

It is an arithmetic number, because the mean of its divisors is an integer number (30720690).

Almost surely, 2^3551954400 is an apocalyptic number.

3551954400 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 3551954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635669040).

3551954400 is an abundant number, since it is smaller than the sum of its proper divisors (9719383680).

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

3551954400 is a wasteful number, since it uses less digits than its factorization.

3551954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3551954400 is about 59598.2751428261. The cubic root of 3551954400 is about 1525.7701959180.

The spelling of 3551954400 in words is "three billion, five hundred fifty-one million, nine hundred fifty-four thousand, four hundred".