3551420400 has 240 divisors, whose sum is σ = 12554196480. Its totient is φ = 850995200.

The previous prime is 3551420399. The next prime is 3551420401. The reversal of 3551420400 is 40241553.

It is an interprime number because it is at equal distance from previous prime (3551420399) and next prime (3551420401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3551420400² = 25225173715072320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3551420401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173289 + ... + 1176311.

It is an arithmetic number, because the mean of its divisors is an integer number (52309152).

Almost surely, 2^3551420400 is an apocalyptic number.

3551420400 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 3551420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277098240).

3551420400 is an abundant number, since it is smaller than the sum of its proper divisors (9002776080).

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

3551420400 is a wasteful number, since it uses less digits than its factorization.

3551420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3551420400 is about 59593.7949790077. The cubic root of 3551420400 is about 1525.6937307736.

Adding to 3551420400 its reverse (40241553), we get a palindrome (3591661953).

The spelling of 3551420400 in words is "three billion, five hundred fifty-one million, four hundred twenty thousand, four hundred".